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Finding the Fourth Proportional to 31,127.40, 46,691.06 and 11,407.50

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Solution

The fourth proportional to 31,127.40, 46,691.06 and 11,407.50 is: 17,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,127.40 : 46,691.06 = 11,407.50 : x
  2. Step 2: Convert to fraction form
    31,127.40/46,691.06 = 11,407.50/x
  3. Step 3: Cross multiply
    31,127.40x = 46,691.06 × 11,407.50
  4. Step 4: Simplify right side
    31,127.40x = 532,628,266.95
  5. Step 5: Solve for x
    x = 532,628,266.95/31,127.40
  6. Step 6: Final answer
    x = 17,111.24

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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.