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Finding the Fourth Proportional to 24,767.42, 37,151 and 6,047.56

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Solution

The fourth proportional to 24,767.42, 37,151 and 6,047.56 is: 9,071.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,767.42 : 37,151 = 6,047.56 : x
  2. Step 2: Convert to fraction form
    24,767.42/37,151 = 6,047.56/x
  3. Step 3: Cross multiply
    24,767.42x = 37,151 × 6,047.56
  4. Step 4: Simplify right side
    24,767.42x = 224,672,901.56
  5. Step 5: Solve for x
    x = 224,672,901.56/24,767.42
  6. Step 6: Final answer
    x = 9,071.31

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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.