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Finding the Fourth Proportional to 70,159, 96,826.08 and 38,332.69

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Solution

The fourth proportional to 70,159, 96,826.08 and 38,332.69 is: 52,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,159 : 96,826.08 = 38,332.69 : x
  2. Step 2: Convert to fraction form
    70,159/96,826.08 = 38,332.69/x
  3. Step 3: Cross multiply
    70,159x = 96,826.08 × 38,332.69
  4. Step 4: Simplify right side
    70,159x = 3,711,604,108.56
  5. Step 5: Solve for x
    x = 3,711,604,108.56/70,159
  6. Step 6: Final answer
    x = 52,902.75

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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.