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Finding the Fourth Proportional to 50,514.63, 75,774.98 and 15,454.59

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Solution

The fourth proportional to 50,514.63, 75,774.98 and 15,454.59 is: 23,182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,514.63 : 75,774.98 = 15,454.59 : x
  2. Step 2: Convert to fraction form
    50,514.63/75,774.98 = 15,454.59/x
  3. Step 3: Cross multiply
    50,514.63x = 75,774.98 × 15,454.59
  4. Step 4: Simplify right side
    50,514.63x = 1,171,071,248.16
  5. Step 5: Solve for x
    x = 1,171,071,248.16/50,514.63
  6. Step 6: Final answer
    x = 23,182.81

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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.