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Finding the Fourth Proportional to 45,587.80, 68,374.86 and 14,419

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Solution

The fourth proportional to 45,587.80, 68,374.86 and 14,419 is: 21,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,587.80 : 68,374.86 = 14,419 : x
  2. Step 2: Convert to fraction form
    45,587.80/68,374.86 = 14,419/x
  3. Step 3: Cross multiply
    45,587.80x = 68,374.86 × 14,419
  4. Step 4: Simplify right side
    45,587.80x = 985,897,106.34
  5. Step 5: Solve for x
    x = 985,897,106.34/45,587.80
  6. Step 6: Final answer
    x = 21,626.34

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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.