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Finding the Fourth Proportional to 38,278.88, 52,681.04 and 32,388

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Solution

The fourth proportional to 38,278.88, 52,681.04 and 32,388 is: 44,573.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,278.88 : 52,681.04 = 32,388 : x
  2. Step 2: Convert to fraction form
    38,278.88/52,681.04 = 32,388/x
  3. Step 3: Cross multiply
    38,278.88x = 52,681.04 × 32,388
  4. Step 4: Simplify right side
    38,278.88x = 1,706,233,523.52
  5. Step 5: Solve for x
    x = 1,706,233,523.52/38,278.88
  6. Step 6: Final answer
    x = 44,573.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.