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Finding the Fourth Proportional to 47,042.84, 70,564.98 and 11,983.16

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Solution

The fourth proportional to 47,042.84, 70,564.98 and 11,983.16 is: 17,974.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,042.84 : 70,564.98 = 11,983.16 : x
  2. Step 2: Convert to fraction form
    47,042.84/70,564.98 = 11,983.16/x
  3. Step 3: Cross multiply
    47,042.84x = 70,564.98 × 11,983.16
  4. Step 4: Simplify right side
    47,042.84x = 845,591,445.74
  5. Step 5: Solve for x
    x = 845,591,445.74/47,042.84
  6. Step 6: Final answer
    x = 17,974.92

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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.