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Finding the Fourth Proportional to 71,639.72, 107,431.50 and 42,065

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Solution

The fourth proportional to 71,639.72, 107,431.50 and 42,065 is: 63,081.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,639.72 : 107,431.50 = 42,065 : x
  2. Step 2: Convert to fraction form
    71,639.72/107,431.50 = 42,065/x
  3. Step 3: Cross multiply
    71,639.72x = 107,431.50 × 42,065
  4. Step 4: Simplify right side
    71,639.72x = 4,519,106,047.50
  5. Step 5: Solve for x
    x = 4,519,106,047.50/71,639.72
  6. Step 6: Final answer
    x = 63,081.01

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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.