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Finding the Fourth Proportional to 46,471.76, 69,708.40 and 16,871.12

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Solution

The fourth proportional to 46,471.76, 69,708.40 and 16,871.12 is: 25,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,471.76 : 69,708.40 = 16,871.12 : x
  2. Step 2: Convert to fraction form
    46,471.76/69,708.40 = 16,871.12/x
  3. Step 3: Cross multiply
    46,471.76x = 69,708.40 × 16,871.12
  4. Step 4: Simplify right side
    46,471.76x = 1,176,058,781.41
  5. Step 5: Solve for x
    x = 1,176,058,781.41/46,471.76
  6. Step 6: Final answer
    x = 25,306.96

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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.