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Finding the Fourth Proportional to 61,448.54, 84,800.57 and 34,592

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Solution

The fourth proportional to 61,448.54, 84,800.57 and 34,592 is: 47,737.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,448.54 : 84,800.57 = 34,592 : x
  2. Step 2: Convert to fraction form
    61,448.54/84,800.57 = 34,592/x
  3. Step 3: Cross multiply
    61,448.54x = 84,800.57 × 34,592
  4. Step 4: Simplify right side
    61,448.54x = 2,933,421,144.48
  5. Step 5: Solve for x
    x = 2,933,421,144.48/61,448.54
  6. Step 6: Final answer
    x = 47,737.85

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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.