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Finding the Fourth Proportional to 105,087.68, 157,514.88 and 42,724.16

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Solution

The fourth proportional to 105,087.68, 157,514.88 and 42,724.16 is: 64,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,087.68 : 157,514.88 = 42,724.16 : x
  2. Step 2: Convert to fraction form
    105,087.68/157,514.88 = 42,724.16/x
  3. Step 3: Cross multiply
    105,087.68x = 157,514.88 × 42,724.16
  4. Step 4: Simplify right side
    105,087.68x = 6,729,690,935.50
  5. Step 5: Solve for x
    x = 6,729,690,935.50/105,087.68
  6. Step 6: Final answer
    x = 64,038.82

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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.