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Finding the Fourth Proportional to 27,648,003.70, 41,472,005.55 and 9,698,922.10

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Solution

The fourth proportional to 27,648,003.70, 41,472,005.55 and 9,698,922.10 is: 14,548,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648,003.70 : 41,472,005.55 = 9,698,922.10 : x
  2. Step 2: Convert to fraction form
    27,648,003.70/41,472,005.55 = 9,698,922.10/x
  3. Step 3: Cross multiply
    27,648,003.70x = 41,472,005.55 × 9,698,922.10
  4. Step 4: Simplify right side
    27,648,003.70x = 402,233,751,160,217.62
  5. Step 5: Solve for x
    x = 402,233,751,160,217.62/27,648,003.70
  6. Step 6: Final answer
    x = 14,548,383.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.