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Finding the Fourth Proportional to 65,465.52, 90,338.40 and 38,609.16

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Solution

The fourth proportional to 65,465.52, 90,338.40 and 38,609.16 is: 53,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,465.52 : 90,338.40 = 38,609.16 : x
  2. Step 2: Convert to fraction form
    65,465.52/90,338.40 = 38,609.16/x
  3. Step 3: Cross multiply
    65,465.52x = 90,338.40 × 38,609.16
  4. Step 4: Simplify right side
    65,465.52x = 3,487,889,739.74
  5. Step 5: Solve for x
    x = 3,487,889,739.74/65,465.52
  6. Step 6: Final answer
    x = 53,278.27

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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.