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Finding the Fourth Proportional to 70,732, 97,610.16 and 38,902.96

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Solution

The fourth proportional to 70,732, 97,610.16 and 38,902.96 is: 53,686.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,732 : 97,610.16 = 38,902.96 : x
  2. Step 2: Convert to fraction form
    70,732/97,610.16 = 38,902.96/x
  3. Step 3: Cross multiply
    70,732x = 97,610.16 × 38,902.96
  4. Step 4: Simplify right side
    70,732x = 3,797,324,150.07
  5. Step 5: Solve for x
    x = 3,797,324,150.07/70,732
  6. Step 6: Final answer
    x = 53,686.08

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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.