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Finding the Fourth Proportional to 65,043.60, 97,565.40 and 47,547.60

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Solution

The fourth proportional to 65,043.60, 97,565.40 and 47,547.60 is: 71,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,043.60 : 97,565.40 = 47,547.60 : x
  2. Step 2: Convert to fraction form
    65,043.60/97,565.40 = 47,547.60/x
  3. Step 3: Cross multiply
    65,043.60x = 97,565.40 × 47,547.60
  4. Step 4: Simplify right side
    65,043.60x = 4,639,000,613.04
  5. Step 5: Solve for x
    x = 4,639,000,613.04/65,043.60
  6. Step 6: Final answer
    x = 71,321.40

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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.