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Finding the Fourth Proportional to 38,074.64, 57,105.72 and 10,374.80

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Solution

The fourth proportional to 38,074.64, 57,105.72 and 10,374.80 is: 15,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,074.64 : 57,105.72 = 10,374.80 : x
  2. Step 2: Convert to fraction form
    38,074.64/57,105.72 = 10,374.80/x
  3. Step 3: Cross multiply
    38,074.64x = 57,105.72 × 10,374.80
  4. Step 4: Simplify right side
    38,074.64x = 592,460,423.86
  5. Step 5: Solve for x
    x = 592,460,423.86/38,074.64
  6. Step 6: Final answer
    x = 15,560.50

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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.