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Finding the Fourth Proportional to 44,337.14, 61,184.06 and 24,194

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Solution

The fourth proportional to 44,337.14, 61,184.06 and 24,194 is: 33,387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,337.14 : 61,184.06 = 24,194 : x
  2. Step 2: Convert to fraction form
    44,337.14/61,184.06 = 24,194/x
  3. Step 3: Cross multiply
    44,337.14x = 61,184.06 × 24,194
  4. Step 4: Simplify right side
    44,337.14x = 1,480,287,147.64
  5. Step 5: Solve for x
    x = 1,480,287,147.64/44,337.14
  6. Step 6: Final answer
    x = 33,387.07

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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.