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Finding the Fourth Proportional to 65,411.65, 90,282.40 and 50,139.10

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Solution

The fourth proportional to 65,411.65, 90,282.40 and 50,139.10 is: 69,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,411.65 : 90,282.40 = 50,139.10 : x
  2. Step 2: Convert to fraction form
    65,411.65/90,282.40 = 50,139.10/x
  3. Step 3: Cross multiply
    65,411.65x = 90,282.40 × 50,139.10
  4. Step 4: Simplify right side
    65,411.65x = 4,526,678,269.35
  5. Step 5: Solve for x
    x = 4,526,678,269.35/65,411.65
  6. Step 6: Final answer
    x = 69,202.94

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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.