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Finding the Fourth Proportional to 43,822.40, 65,740.80 and 18,874.40

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Solution

The fourth proportional to 43,822.40, 65,740.80 and 18,874.40 is: 28,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,822.40 : 65,740.80 = 18,874.40 : x
  2. Step 2: Convert to fraction form
    43,822.40/65,740.80 = 18,874.40/x
  3. Step 3: Cross multiply
    43,822.40x = 65,740.80 × 18,874.40
  4. Step 4: Simplify right side
    43,822.40x = 1,240,818,155.52
  5. Step 5: Solve for x
    x = 1,240,818,155.52/43,822.40
  6. Step 6: Final answer
    x = 28,314.70

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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.