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Finding the Fourth Proportional to 38,736.75, 53,465.84 and 23,641.89

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Solution

The fourth proportional to 38,736.75, 53,465.84 and 23,641.89 is: 32,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,736.75 : 53,465.84 = 23,641.89 : x
  2. Step 2: Convert to fraction form
    38,736.75/53,465.84 = 23,641.89/x
  3. Step 3: Cross multiply
    38,736.75x = 53,465.84 × 23,641.89
  4. Step 4: Simplify right side
    38,736.75x = 1,264,033,508.04
  5. Step 5: Solve for x
    x = 1,264,033,508.04/38,736.75
  6. Step 6: Final answer
    x = 32,631.38

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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.