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Finding the Fourth Proportional to 31,470, 43,393.16 and 22,957.14

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Solution

The fourth proportional to 31,470, 43,393.16 and 22,957.14 is: 31,655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,470 : 43,393.16 = 22,957.14 : x
  2. Step 2: Convert to fraction form
    31,470/43,393.16 = 22,957.14/x
  3. Step 3: Cross multiply
    31,470x = 43,393.16 × 22,957.14
  4. Step 4: Simplify right side
    31,470x = 996,182,849.16
  5. Step 5: Solve for x
    x = 996,182,849.16/31,470
  6. Step 6: Final answer
    x = 31,655.00

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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.