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Finding the Fourth Proportional to 38,428.32, 53,034.75 and 23,317.52

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Solution

The fourth proportional to 38,428.32, 53,034.75 and 23,317.52 is: 32,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,428.32 : 53,034.75 = 23,317.52 : x
  2. Step 2: Convert to fraction form
    38,428.32/53,034.75 = 23,317.52/x
  3. Step 3: Cross multiply
    38,428.32x = 53,034.75 × 23,317.52
  4. Step 4: Simplify right side
    38,428.32x = 1,236,638,876.97
  5. Step 5: Solve for x
    x = 1,236,638,876.97/38,428.32
  6. Step 6: Final answer
    x = 32,180.40

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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.