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Finding the Fourth Proportional to 91,784.80, 137,569.20 and 52,379.20

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Solution

The fourth proportional to 91,784.80, 137,569.20 and 52,379.20 is: 78,507.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,784.80 : 137,569.20 = 52,379.20 : x
  2. Step 2: Convert to fraction form
    91,784.80/137,569.20 = 52,379.20/x
  3. Step 3: Cross multiply
    91,784.80x = 137,569.20 × 52,379.20
  4. Step 4: Simplify right side
    91,784.80x = 7,205,764,640.64
  5. Step 5: Solve for x
    x = 7,205,764,640.64/91,784.80
  6. Step 6: Final answer
    x = 78,507.17

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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.