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Finding the Fourth Proportional to 47,602.50, 65,691.45 and 26,384.96

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Solution

The fourth proportional to 47,602.50, 65,691.45 and 26,384.96 is: 36,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,602.50 : 65,691.45 = 26,384.96 : x
  2. Step 2: Convert to fraction form
    47,602.50/65,691.45 = 26,384.96/x
  3. Step 3: Cross multiply
    47,602.50x = 65,691.45 × 26,384.96
  4. Step 4: Simplify right side
    47,602.50x = 1,733,265,952.13
  5. Step 5: Solve for x
    x = 1,733,265,952.13/47,602.50
  6. Step 6: Final answer
    x = 36,411.24

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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.