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Finding the Fourth Proportional to 38,883.84, 53,638.72 and 32,129.52

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Solution

The fourth proportional to 38,883.84, 53,638.72 and 32,129.52 is: 44,321.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,883.84 : 53,638.72 = 32,129.52 : x
  2. Step 2: Convert to fraction form
    38,883.84/53,638.72 = 32,129.52/x
  3. Step 3: Cross multiply
    38,883.84x = 53,638.72 × 32,129.52
  4. Step 4: Simplify right side
    38,883.84x = 1,723,386,327.01
  5. Step 5: Solve for x
    x = 1,723,386,327.01/38,883.84
  6. Step 6: Final answer
    x = 44,321.40

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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.