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Finding the Fourth Proportional to 61,848.84, 85,395.78 and 38,007.48

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Solution

The fourth proportional to 61,848.84, 85,395.78 and 38,007.48 is: 52,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,848.84 : 85,395.78 = 38,007.48 : x
  2. Step 2: Convert to fraction form
    61,848.84/85,395.78 = 38,007.48/x
  3. Step 3: Cross multiply
    61,848.84x = 85,395.78 × 38,007.48
  4. Step 4: Simplify right side
    61,848.84x = 3,245,678,400.43
  5. Step 5: Solve for x
    x = 3,245,678,400.43/61,848.84
  6. Step 6: Final answer
    x = 52,477.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.