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Finding the Fourth Proportional to 31,712.40, 47,538.90 and 12,004.20

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Solution

The fourth proportional to 31,712.40, 47,538.90 and 12,004.20 is: 17,995.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,712.40 : 47,538.90 = 12,004.20 : x
  2. Step 2: Convert to fraction form
    31,712.40/47,538.90 = 12,004.20/x
  3. Step 3: Cross multiply
    31,712.40x = 47,538.90 × 12,004.20
  4. Step 4: Simplify right side
    31,712.40x = 570,666,463.38
  5. Step 5: Solve for x
    x = 570,666,463.38/31,712.40
  6. Step 6: Final answer
    x = 17,995.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.