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Finding the Fourth Proportional to 91,698.97, 137,569.11 and 32,534.56

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Solution

The fourth proportional to 91,698.97, 137,569.11 and 32,534.56 is: 48,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,698.97 : 137,569.11 = 32,534.56 : x
  2. Step 2: Convert to fraction form
    91,698.97/137,569.11 = 32,534.56/x
  3. Step 3: Cross multiply
    91,698.97x = 137,569.11 × 32,534.56
  4. Step 4: Simplify right side
    91,698.97x = 4,475,750,463.44
  5. Step 5: Solve for x
    x = 4,475,750,463.44/91,698.97
  6. Step 6: Final answer
    x = 48,809.17

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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.