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Finding the Fourth Proportional to 47,381.84, 65,386.91 and 27,242.66

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Solution

The fourth proportional to 47,381.84, 65,386.91 and 27,242.66 is: 37,594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,381.84 : 65,386.91 = 27,242.66 : x
  2. Step 2: Convert to fraction form
    47,381.84/65,386.91 = 27,242.66/x
  3. Step 3: Cross multiply
    47,381.84x = 65,386.91 × 27,242.66
  4. Step 4: Simplify right side
    47,381.84x = 1,781,312,894.43
  5. Step 5: Solve for x
    x = 1,781,312,894.43/47,381.84
  6. Step 6: Final answer
    x = 37,594.85

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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.