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Finding the Fourth Proportional to 27,470.95, 37,910.70 and 15,534.02

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Solution

The fourth proportional to 27,470.95, 37,910.70 and 15,534.02 is: 21,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,470.95 : 37,910.70 = 15,534.02 : x
  2. Step 2: Convert to fraction form
    27,470.95/37,910.70 = 15,534.02/x
  3. Step 3: Cross multiply
    27,470.95x = 37,910.70 × 15,534.02
  4. Step 4: Simplify right side
    27,470.95x = 588,905,572.01
  5. Step 5: Solve for x
    x = 588,905,572.01/27,470.95
  6. Step 6: Final answer
    x = 21,437.39

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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.