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Finding the Fourth Proportional to 75,700.65, 113,550.98 and 36,237.45

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Solution

The fourth proportional to 75,700.65, 113,550.98 and 36,237.45 is: 54,356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,700.65 : 113,550.98 = 36,237.45 : x
  2. Step 2: Convert to fraction form
    75,700.65/113,550.98 = 36,237.45/x
  3. Step 3: Cross multiply
    75,700.65x = 113,550.98 × 36,237.45
  4. Step 4: Simplify right side
    75,700.65x = 4,114,797,779.01
  5. Step 5: Solve for x
    x = 4,114,797,779.01/75,700.65
  6. Step 6: Final answer
    x = 54,356.18

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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.