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Finding the Fourth Proportional to 61,171.71, 84,411.28 and 34,309.03

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Solution

The fourth proportional to 61,171.71, 84,411.28 and 34,309.03 is: 47,343.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,171.71 : 84,411.28 = 34,309.03 : x
  2. Step 2: Convert to fraction form
    61,171.71/84,411.28 = 34,309.03/x
  3. Step 3: Cross multiply
    61,171.71x = 84,411.28 × 34,309.03
  4. Step 4: Simplify right side
    61,171.71x = 2,896,069,137.86
  5. Step 5: Solve for x
    x = 2,896,069,137.86/61,171.71
  6. Step 6: Final answer
    x = 47,343.28

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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.