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Finding the Fourth Proportional to 38,292, 57,441.12 and 10,590.24

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Solution

The fourth proportional to 38,292, 57,441.12 and 10,590.24 is: 15,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,292 : 57,441.12 = 10,590.24 : x
  2. Step 2: Convert to fraction form
    38,292/57,441.12 = 10,590.24/x
  3. Step 3: Cross multiply
    38,292x = 57,441.12 × 10,590.24
  4. Step 4: Simplify right side
    38,292x = 608,315,246.67
  5. Step 5: Solve for x
    x = 608,315,246.67/38,292
  6. Step 6: Final answer
    x = 15,886.22

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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.