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Finding the Fourth Proportional to 34,171.16, 51,264.02 and 11,985.86

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Solution

The fourth proportional to 34,171.16, 51,264.02 and 11,985.86 is: 17,981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,171.16 : 51,264.02 = 11,985.86 : x
  2. Step 2: Convert to fraction form
    34,171.16/51,264.02 = 11,985.86/x
  3. Step 3: Cross multiply
    34,171.16x = 51,264.02 × 11,985.86
  4. Step 4: Simplify right side
    34,171.16x = 614,443,524.88
  5. Step 5: Solve for x
    x = 614,443,524.88/34,171.16
  6. Step 6: Final answer
    x = 17,981.35

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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.