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Finding the Fourth Proportional to 103,514.83, 155,254.23 and 33,394.14

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Solution

The fourth proportional to 103,514.83, 155,254.23 and 33,394.14 is: 50,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,514.83 : 155,254.23 = 33,394.14 : x
  2. Step 2: Convert to fraction form
    103,514.83/155,254.23 = 33,394.14/x
  3. Step 3: Cross multiply
    103,514.83x = 155,254.23 × 33,394.14
  4. Step 4: Simplify right side
    103,514.83x = 5,184,581,769.77
  5. Step 5: Solve for x
    x = 5,184,581,769.77/103,514.83
  6. Step 6: Final answer
    x = 50,085.40

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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.