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Finding the Fourth Proportional to 24,749.34, 37,114.65 and 15,375.66

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Solution

The fourth proportional to 24,749.34, 37,114.65 and 15,375.66 is: 23,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,749.34 : 37,114.65 = 15,375.66 : x
  2. Step 2: Convert to fraction form
    24,749.34/37,114.65 = 15,375.66/x
  3. Step 3: Cross multiply
    24,749.34x = 37,114.65 × 15,375.66
  4. Step 4: Simplify right side
    24,749.34x = 570,662,239.42
  5. Step 5: Solve for x
    x = 570,662,239.42/24,749.34
  6. Step 6: Final answer
    x = 23,057.68

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1.5x scale

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.