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Finding the Fourth Proportional to 77,762, 116,642.89 and 24,458.66

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Solution

The fourth proportional to 77,762, 116,642.89 and 24,458.66 is: 36,687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,762 : 116,642.89 = 24,458.66 : x
  2. Step 2: Convert to fraction form
    77,762/116,642.89 = 24,458.66/x
  3. Step 3: Cross multiply
    77,762x = 116,642.89 × 24,458.66
  4. Step 4: Simplify right side
    77,762x = 2,852,928,787.93
  5. Step 5: Solve for x
    x = 2,852,928,787.93/77,762
  6. Step 6: Final answer
    x = 36,687.96

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Why These Related Problems?

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