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Finding the Fourth Proportional to 47,751.60, 65,901.68 and 27,607.28

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Solution

The fourth proportional to 47,751.60, 65,901.68 and 27,607.28 is: 38,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751.60 : 65,901.68 = 27,607.28 : x
  2. Step 2: Convert to fraction form
    47,751.60/65,901.68 = 27,607.28/x
  3. Step 3: Cross multiply
    47,751.60x = 65,901.68 × 27,607.28
  4. Step 4: Simplify right side
    47,751.60x = 1,819,366,061.26
  5. Step 5: Solve for x
    x = 1,819,366,061.26/47,751.60
  6. Step 6: Final answer
    x = 38,100.63

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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.