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Finding the Fourth Proportional to 31,417.98, 47,126.97 and 11,701.50

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Solution

The fourth proportional to 31,417.98, 47,126.97 and 11,701.50 is: 17,552.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,417.98 : 47,126.97 = 11,701.50 : x
  2. Step 2: Convert to fraction form
    31,417.98/47,126.97 = 11,701.50/x
  3. Step 3: Cross multiply
    31,417.98x = 47,126.97 × 11,701.50
  4. Step 4: Simplify right side
    31,417.98x = 551,456,239.46
  5. Step 5: Solve for x
    x = 551,456,239.46/31,417.98
  6. Step 6: Final answer
    x = 17,552.25

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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.