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Finding the Fourth Proportional to 83,168.32, 114,758.40 and 47,358.88

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Solution

The fourth proportional to 83,168.32, 114,758.40 and 47,358.88 is: 65,347.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,168.32 : 114,758.40 = 47,358.88 : x
  2. Step 2: Convert to fraction form
    83,168.32/114,758.40 = 47,358.88/x
  3. Step 3: Cross multiply
    83,168.32x = 114,758.40 × 47,358.88
  4. Step 4: Simplify right side
    83,168.32x = 5,434,829,294.59
  5. Step 5: Solve for x
    x = 5,434,829,294.59/83,168.32
  6. Step 6: Final answer
    x = 65,347.35

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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.