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Finding the Fourth Proportional to 77,238.65, 115,901.78 and 41,699.50

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Solution

The fourth proportional to 77,238.65, 115,901.78 and 41,699.50 is: 62,572.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,238.65 : 115,901.78 = 41,699.50 : x
  2. Step 2: Convert to fraction form
    77,238.65/115,901.78 = 41,699.50/x
  3. Step 3: Cross multiply
    77,238.65x = 115,901.78 × 41,699.50
  4. Step 4: Simplify right side
    77,238.65x = 4,833,045,776.86
  5. Step 5: Solve for x
    x = 4,833,045,776.86/77,238.65
  6. Step 6: Final answer
    x = 62,572.89

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