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Finding the Fourth Proportional to 69,902.88, 96,465.48 and 38,071.68

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Solution

The fourth proportional to 69,902.88, 96,465.48 and 38,071.68 is: 52,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,902.88 : 96,465.48 = 38,071.68 : x
  2. Step 2: Convert to fraction form
    69,902.88/96,465.48 = 38,071.68/x
  3. Step 3: Cross multiply
    69,902.88x = 96,465.48 × 38,071.68
  4. Step 4: Simplify right side
    69,902.88x = 3,672,602,885.61
  5. Step 5: Solve for x
    x = 3,672,602,885.61/69,902.88
  6. Step 6: Final answer
    x = 52,538.65

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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.