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Finding the Fourth Proportional to 48,534, 72,801.40 and 13,476.39

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Solution

The fourth proportional to 48,534, 72,801.40 and 13,476.39 is: 20,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,534 : 72,801.40 = 13,476.39 : x
  2. Step 2: Convert to fraction form
    48,534/72,801.40 = 13,476.39/x
  3. Step 3: Cross multiply
    48,534x = 72,801.40 × 13,476.39
  4. Step 4: Simplify right side
    48,534x = 981,100,058.95
  5. Step 5: Solve for x
    x = 981,100,058.95/48,534
  6. Step 6: Final answer
    x = 20,214.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.