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Finding the Fourth Proportional to 68,726.16, 103,025.80 and 47,676.13

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Solution

The fourth proportional to 68,726.16, 103,025.80 and 47,676.13 is: 71,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,726.16 : 103,025.80 = 47,676.13 : x
  2. Step 2: Convert to fraction form
    68,726.16/103,025.80 = 47,676.13/x
  3. Step 3: Cross multiply
    68,726.16x = 103,025.80 × 47,676.13
  4. Step 4: Simplify right side
    68,726.16x = 4,911,871,434.15
  5. Step 5: Solve for x
    x = 4,911,871,434.15/68,726.16
  6. Step 6: Final answer
    x = 71,470.19

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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.