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Finding the Fourth Proportional to 61,397.64, 84,733.65 and 34,538.55

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Solution

The fourth proportional to 61,397.64, 84,733.65 and 34,538.55 is: 47,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,397.64 : 84,733.65 = 34,538.55 : x
  2. Step 2: Convert to fraction form
    61,397.64/84,733.65 = 34,538.55/x
  3. Step 3: Cross multiply
    61,397.64x = 84,733.65 × 34,538.55
  4. Step 4: Simplify right side
    61,397.64x = 2,926,577,407.21
  5. Step 5: Solve for x
    x = 2,926,577,407.21/61,397.64
  6. Step 6: Final answer
    x = 47,665.96

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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.