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Finding the Fourth Proportional to 47,677.95, 65,788.13 and 27,530.96

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Solution

The fourth proportional to 47,677.95, 65,788.13 and 27,530.96 is: 37,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,677.95 : 65,788.13 = 27,530.96 : x
  2. Step 2: Convert to fraction form
    47,677.95/65,788.13 = 27,530.96/x
  3. Step 3: Cross multiply
    47,677.95x = 65,788.13 × 27,530.96
  4. Step 4: Simplify right side
    47,677.95x = 1,811,210,115.39
  5. Step 5: Solve for x
    x = 1,811,210,115.39/47,677.95
  6. Step 6: Final answer
    x = 37,988.42

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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.