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Finding the Fourth Proportional to 65,459.85, 98,337.59 and 38,823.32

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Solution

The fourth proportional to 65,459.85, 98,337.59 and 38,823.32 is: 58,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,459.85 : 98,337.59 = 38,823.32 : x
  2. Step 2: Convert to fraction form
    65,459.85/98,337.59 = 38,823.32/x
  3. Step 3: Cross multiply
    65,459.85x = 98,337.59 × 38,823.32
  4. Step 4: Simplify right side
    65,459.85x = 3,817,791,324.25
  5. Step 5: Solve for x
    x = 3,817,791,324.25/65,459.85
  6. Step 6: Final answer
    x = 58,322.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.