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Finding the Fourth Proportional to 70,711.96, 97,582.02 and 38,880.04

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Solution

The fourth proportional to 70,711.96, 97,582.02 and 38,880.04 is: 53,654.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,711.96 : 97,582.02 = 38,880.04 : x
  2. Step 2: Convert to fraction form
    70,711.96/97,582.02 = 38,880.04/x
  3. Step 3: Cross multiply
    70,711.96x = 97,582.02 × 38,880.04
  4. Step 4: Simplify right side
    70,711.96x = 3,793,992,840.88
  5. Step 5: Solve for x
    x = 3,793,992,840.88/70,711.96
  6. Step 6: Final answer
    x = 53,654.19

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1.5x scale

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.