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Finding the Fourth Proportional to 80,492, 120,744.66 and 25,088

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Solution

The fourth proportional to 80,492, 120,744.66 and 25,088 is: 37,634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,492 : 120,744.66 = 25,088 : x
  2. Step 2: Convert to fraction form
    80,492/120,744.66 = 25,088/x
  3. Step 3: Cross multiply
    80,492x = 120,744.66 × 25,088
  4. Step 4: Simplify right side
    80,492x = 3,029,242,030.08
  5. Step 5: Solve for x
    x = 3,029,242,030.08/80,492
  6. Step 6: Final answer
    x = 37,634.08

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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.