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Finding the Fourth Proportional to 47,531.67, 65,608.29 and 27,402

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Solution

The fourth proportional to 47,531.67, 65,608.29 and 27,402 is: 37,823.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,531.67 : 65,608.29 = 27,402 : x
  2. Step 2: Convert to fraction form
    47,531.67/65,608.29 = 27,402/x
  3. Step 3: Cross multiply
    47,531.67x = 65,608.29 × 27,402
  4. Step 4: Simplify right side
    47,531.67x = 1,797,798,362.58
  5. Step 5: Solve for x
    x = 1,797,798,362.58/47,531.67
  6. Step 6: Final answer
    x = 37,823.17

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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.