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Finding the Fourth Proportional to 47,800.75, 65,962.47 and 27,657.96

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Solution

The fourth proportional to 47,800.75, 65,962.47 and 27,657.96 is: 38,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,800.75 : 65,962.47 = 27,657.96 : x
  2. Step 2: Convert to fraction form
    47,800.75/65,962.47 = 27,657.96/x
  3. Step 3: Cross multiply
    47,800.75x = 65,962.47 × 27,657.96
  4. Step 4: Simplify right side
    47,800.75x = 1,824,387,356.76
  5. Step 5: Solve for x
    x = 1,824,387,356.76/47,800.75
  6. Step 6: Final answer
    x = 38,166.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.