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Finding the Fourth Proportional to 70,031.60, 96,642.03 and 38,201.63

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Solution

The fourth proportional to 70,031.60, 96,642.03 and 38,201.63 is: 52,717.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,031.60 : 96,642.03 = 38,201.63 : x
  2. Step 2: Convert to fraction form
    70,031.60/96,642.03 = 38,201.63/x
  3. Step 3: Cross multiply
    70,031.60x = 96,642.03 × 38,201.63
  4. Step 4: Simplify right side
    70,031.60x = 3,691,883,314.11
  5. Step 5: Solve for x
    x = 3,691,883,314.11/70,031.60
  6. Step 6: Final answer
    x = 52,717.40

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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.