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Finding the Fourth Proportional to 42,806.49, 59,071.86 and 23,686.98

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Solution

The fourth proportional to 42,806.49, 59,071.86 and 23,686.98 is: 32,687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,806.49 : 59,071.86 = 23,686.98 : x
  2. Step 2: Convert to fraction form
    42,806.49/59,071.86 = 23,686.98/x
  3. Step 3: Cross multiply
    42,806.49x = 59,071.86 × 23,686.98
  4. Step 4: Simplify right side
    42,806.49x = 1,399,233,966.38
  5. Step 5: Solve for x
    x = 1,399,233,966.38/42,806.49
  6. Step 6: Final answer
    x = 32,687.43

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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.