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Finding the Fourth Proportional to 43,641.04, 65,416.74 and 24,882.70

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Solution

The fourth proportional to 43,641.04, 65,416.74 and 24,882.70 is: 37,298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,641.04 : 65,416.74 = 24,882.70 : x
  2. Step 2: Convert to fraction form
    43,641.04/65,416.74 = 24,882.70/x
  3. Step 3: Cross multiply
    43,641.04x = 65,416.74 × 24,882.70
  4. Step 4: Simplify right side
    43,641.04x = 1,627,745,116.40
  5. Step 5: Solve for x
    x = 1,627,745,116.40/43,641.04
  6. Step 6: Final answer
    x = 37,298.50

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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.