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Finding the Fourth Proportional to 71,175.17, 98,221.20 and 40,966.40

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Solution

The fourth proportional to 71,175.17, 98,221.20 and 40,966.40 is: 56,533.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,175.17 : 98,221.20 = 40,966.40 : x
  2. Step 2: Convert to fraction form
    71,175.17/98,221.20 = 40,966.40/x
  3. Step 3: Cross multiply
    71,175.17x = 98,221.20 × 40,966.40
  4. Step 4: Simplify right side
    71,175.17x = 4,023,768,967.68
  5. Step 5: Solve for x
    x = 4,023,768,967.68/71,175.17
  6. Step 6: Final answer
    x = 56,533.32

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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.