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Finding the Fourth Proportional to 77,346.66, 106,731.87 and 42,892.38

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Solution

The fourth proportional to 77,346.66, 106,731.87 and 42,892.38 is: 59,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,346.66 : 106,731.87 = 42,892.38 : x
  2. Step 2: Convert to fraction form
    77,346.66/106,731.87 = 42,892.38/x
  3. Step 3: Cross multiply
    77,346.66x = 106,731.87 × 42,892.38
  4. Step 4: Simplify right side
    77,346.66x = 4,577,983,926.15
  5. Step 5: Solve for x
    x = 4,577,983,926.15/77,346.66
  6. Step 6: Final answer
    x = 59,187.87

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