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Finding the Fourth Proportional to 47,562.96, 65,636.80 and 27,419.76

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Solution

The fourth proportional to 47,562.96, 65,636.80 and 27,419.76 is: 37,839.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,562.96 : 65,636.80 = 27,419.76 : x
  2. Step 2: Convert to fraction form
    47,562.96/65,636.80 = 27,419.76/x
  3. Step 3: Cross multiply
    47,562.96x = 65,636.80 × 27,419.76
  4. Step 4: Simplify right side
    47,562.96x = 1,799,745,303.17
  5. Step 5: Solve for x
    x = 1,799,745,303.17/47,562.96
  6. Step 6: Final answer
    x = 37,839.22

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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.