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Finding the Fourth Proportional to 77,437.49, 106,861.68 and 43,443.14

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Solution

The fourth proportional to 77,437.49, 106,861.68 and 43,443.14 is: 59,950.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,437.49 : 106,861.68 = 43,443.14 : x
  2. Step 2: Convert to fraction form
    77,437.49/106,861.68 = 43,443.14/x
  3. Step 3: Cross multiply
    77,437.49x = 106,861.68 × 43,443.14
  4. Step 4: Simplify right side
    77,437.49x = 4,642,406,390.57
  5. Step 5: Solve for x
    x = 4,642,406,390.57/77,437.49
  6. Step 6: Final answer
    x = 59,950.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.