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Finding the Fourth Proportional to 22,034.16, 33,048 and 7,242.48

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Solution

The fourth proportional to 22,034.16, 33,048 and 7,242.48 is: 10,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,034.16 : 33,048 = 7,242.48 : x
  2. Step 2: Convert to fraction form
    22,034.16/33,048 = 7,242.48/x
  3. Step 3: Cross multiply
    22,034.16x = 33,048 × 7,242.48
  4. Step 4: Simplify right side
    22,034.16x = 239,349,479.04
  5. Step 5: Solve for x
    x = 239,349,479.04/22,034.16
  6. Step 6: Final answer
    x = 10,862.66

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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.