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Finding the Fourth Proportional to 61,343.71, 84,657.32 and 34,494.64

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Solution

The fourth proportional to 61,343.71, 84,657.32 and 34,494.64 is: 47,604.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,343.71 : 84,657.32 = 34,494.64 : x
  2. Step 2: Convert to fraction form
    61,343.71/84,657.32 = 34,494.64/x
  3. Step 3: Cross multiply
    61,343.71x = 84,657.32 × 34,494.64
  4. Step 4: Simplify right side
    61,343.71x = 2,920,223,776.76
  5. Step 5: Solve for x
    x = 2,920,223,776.76/61,343.71
  6. Step 6: Final answer
    x = 47,604.29

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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.