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Finding the Fourth Proportional to 31,918.84, 47,900.13 and 11,142.34

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Solution

The fourth proportional to 31,918.84, 47,900.13 and 11,142.34 is: 16,721.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,918.84 : 47,900.13 = 11,142.34 : x
  2. Step 2: Convert to fraction form
    31,918.84/47,900.13 = 11,142.34/x
  3. Step 3: Cross multiply
    31,918.84x = 47,900.13 × 11,142.34
  4. Step 4: Simplify right side
    31,918.84x = 533,719,534.50
  5. Step 5: Solve for x
    x = 533,719,534.50/31,918.84
  6. Step 6: Final answer
    x = 16,721.14

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Why These Related Problems?

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