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Finding the Fourth Proportional to 30,648.66, 42,314.72 and 20,454.23

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Solution

The fourth proportional to 30,648.66, 42,314.72 and 20,454.23 is: 28,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,648.66 : 42,314.72 = 20,454.23 : x
  2. Step 2: Convert to fraction form
    30,648.66/42,314.72 = 20,454.23/x
  3. Step 3: Cross multiply
    30,648.66x = 42,314.72 × 20,454.23
  4. Step 4: Simplify right side
    30,648.66x = 865,514,701.42
  5. Step 5: Solve for x
    x = 865,514,701.42/30,648.66
  6. Step 6: Final answer
    x = 28,239.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.