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Finding the Fourth Proportional to 65,962.96, 98,913.72 and 38,268.88

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Solution

The fourth proportional to 65,962.96, 98,913.72 and 38,268.88 is: 57,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,962.96 : 98,913.72 = 38,268.88 : x
  2. Step 2: Convert to fraction form
    65,962.96/98,913.72 = 38,268.88/x
  3. Step 3: Cross multiply
    65,962.96x = 98,913.72 × 38,268.88
  4. Step 4: Simplify right side
    65,962.96x = 3,785,317,281.03
  5. Step 5: Solve for x
    x = 3,785,317,281.03/65,962.96
  6. Step 6: Final answer
    x = 57,385.50

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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.