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Finding the Fourth Proportional to 96,938.76, 133,773.76 and 59,213

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Solution

The fourth proportional to 96,938.76, 133,773.76 and 59,213 is: 81,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,938.76 : 133,773.76 = 59,213 : x
  2. Step 2: Convert to fraction form
    96,938.76/133,773.76 = 59,213/x
  3. Step 3: Cross multiply
    96,938.76x = 133,773.76 × 59,213
  4. Step 4: Simplify right side
    96,938.76x = 7,921,145,650.88
  5. Step 5: Solve for x
    x = 7,921,145,650.88/96,938.76
  6. Step 6: Final answer
    x = 81,712.88

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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.