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Finding the Fourth Proportional to 47,883.48, 71,746.02 and 24,477.72

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Solution

The fourth proportional to 47,883.48, 71,746.02 and 24,477.72 is: 36,676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,883.48 : 71,746.02 = 24,477.72 : x
  2. Step 2: Convert to fraction form
    47,883.48/71,746.02 = 24,477.72/x
  3. Step 3: Cross multiply
    47,883.48x = 71,746.02 × 24,477.72
  4. Step 4: Simplify right side
    47,883.48x = 1,756,178,988.67
  5. Step 5: Solve for x
    x = 1,756,178,988.67/47,883.48
  6. Step 6: Final answer
    x = 36,676.09

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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.