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Finding the Fourth Proportional to 44,189.76, 66,228.48 and 20,784

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Solution

The fourth proportional to 44,189.76, 66,228.48 and 20,784 is: 31,149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,189.76 : 66,228.48 = 20,784 : x
  2. Step 2: Convert to fraction form
    44,189.76/66,228.48 = 20,784/x
  3. Step 3: Cross multiply
    44,189.76x = 66,228.48 × 20,784
  4. Step 4: Simplify right side
    44,189.76x = 1,376,492,728.32
  5. Step 5: Solve for x
    x = 1,376,492,728.32/44,189.76
  6. Step 6: Final answer
    x = 31,149.59

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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.