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Finding the Fourth Proportional to 77,585, 116,384.25 and 21,425.18

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Solution

The fourth proportional to 77,585, 116,384.25 and 21,425.18 is: 32,139.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,585 : 116,384.25 = 21,425.18 : x
  2. Step 2: Convert to fraction form
    77,585/116,384.25 = 21,425.18/x
  3. Step 3: Cross multiply
    77,585x = 116,384.25 × 21,425.18
  4. Step 4: Simplify right side
    77,585x = 2,493,553,505.42
  5. Step 5: Solve for x
    x = 2,493,553,505.42/77,585
  6. Step 6: Final answer
    x = 32,139.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.