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Finding the Fourth Proportional to 31,478.68, 43,437.54 and 18,047.08

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Solution

The fourth proportional to 31,478.68, 43,437.54 and 18,047.08 is: 24,903.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,478.68 : 43,437.54 = 18,047.08 : x
  2. Step 2: Convert to fraction form
    31,478.68/43,437.54 = 18,047.08/x
  3. Step 3: Cross multiply
    31,478.68x = 43,437.54 × 18,047.08
  4. Step 4: Simplify right side
    31,478.68x = 783,920,759.38
  5. Step 5: Solve for x
    x = 783,920,759.38/31,478.68
  6. Step 6: Final answer
    x = 24,903.23

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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.