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Finding the Fourth Proportional to 47,564.39, 65,638.71 and 27,421.17

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Solution

The fourth proportional to 47,564.39, 65,638.71 and 27,421.17 is: 37,841.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,564.39 : 65,638.71 = 27,421.17 : x
  2. Step 2: Convert to fraction form
    47,564.39/65,638.71 = 27,421.17/x
  3. Step 3: Cross multiply
    47,564.39x = 65,638.71 × 27,421.17
  4. Step 4: Simplify right side
    47,564.39x = 1,799,890,225.49
  5. Step 5: Solve for x
    x = 1,799,890,225.49/47,564.39
  6. Step 6: Final answer
    x = 37,841.13

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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.