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Finding the Fourth Proportional to 70,591.08, 97,402.32 and 47,948.16

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Solution

The fourth proportional to 70,591.08, 97,402.32 and 47,948.16 is: 66,159.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,591.08 : 97,402.32 = 47,948.16 : x
  2. Step 2: Convert to fraction form
    70,591.08/97,402.32 = 47,948.16/x
  3. Step 3: Cross multiply
    70,591.08x = 97,402.32 × 47,948.16
  4. Step 4: Simplify right side
    70,591.08x = 4,670,262,023.73
  5. Step 5: Solve for x
    x = 4,670,262,023.73/70,591.08
  6. Step 6: Final answer
    x = 66,159.38

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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.