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Finding the Fourth Proportional to 38,342.42, 57,514.08 and 12,047.12

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Solution

The fourth proportional to 38,342.42, 57,514.08 and 12,047.12 is: 18,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,342.42 : 57,514.08 = 12,047.12 : x
  2. Step 2: Convert to fraction form
    38,342.42/57,514.08 = 12,047.12/x
  3. Step 3: Cross multiply
    38,342.42x = 57,514.08 × 12,047.12
  4. Step 4: Simplify right side
    38,342.42x = 692,879,023.45
  5. Step 5: Solve for x
    x = 692,879,023.45/38,342.42
  6. Step 6: Final answer
    x = 18,070.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.