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Finding the Fourth Proportional to 31,108.76, 42,931.10 and 17,499.16

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Solution

The fourth proportional to 31,108.76, 42,931.10 and 17,499.16 is: 24,149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,108.76 : 42,931.10 = 17,499.16 : x
  2. Step 2: Convert to fraction form
    31,108.76/42,931.10 = 17,499.16/x
  3. Step 3: Cross multiply
    31,108.76x = 42,931.10 × 17,499.16
  4. Step 4: Simplify right side
    31,108.76x = 751,258,100.38
  5. Step 5: Solve for x
    x = 751,258,100.38/31,108.76
  6. Step 6: Final answer
    x = 24,149.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.