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Finding the Fourth Proportional to 65,294.25, 90,114.57 and 38,439.24

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Solution

The fourth proportional to 65,294.25, 90,114.57 and 38,439.24 is: 53,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,294.25 : 90,114.57 = 38,439.24 : x
  2. Step 2: Convert to fraction form
    65,294.25/90,114.57 = 38,439.24/x
  3. Step 3: Cross multiply
    65,294.25x = 90,114.57 × 38,439.24
  4. Step 4: Simplify right side
    65,294.25x = 3,463,935,583.73
  5. Step 5: Solve for x
    x = 3,463,935,583.73/65,294.25
  6. Step 6: Final answer
    x = 53,051.16

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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.