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Finding the Fourth Proportional to 43,564.91, 65,242.11 and 24,788.06

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Solution

The fourth proportional to 43,564.91, 65,242.11 and 24,788.06 is: 37,122.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,564.91 : 65,242.11 = 24,788.06 : x
  2. Step 2: Convert to fraction form
    43,564.91/65,242.11 = 24,788.06/x
  3. Step 3: Cross multiply
    43,564.91x = 65,242.11 × 24,788.06
  4. Step 4: Simplify right side
    43,564.91x = 1,617,225,337.21
  5. Step 5: Solve for x
    x = 1,617,225,337.21/43,564.91
  6. Step 6: Final answer
    x = 37,122.20

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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.