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Finding the Fourth Proportional to 91,834.75, 137,752.13 and 36,430.75

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Solution

The fourth proportional to 91,834.75, 137,752.13 and 36,430.75 is: 54,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,834.75 : 137,752.13 = 36,430.75 : x
  2. Step 2: Convert to fraction form
    91,834.75/137,752.13 = 36,430.75/x
  3. Step 3: Cross multiply
    91,834.75x = 137,752.13 × 36,430.75
  4. Step 4: Simplify right side
    91,834.75x = 5,018,413,410.00
  5. Step 5: Solve for x
    x = 5,018,413,410.00/91,834.75
  6. Step 6: Final answer
    x = 54,646.13

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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.