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Finding the Fourth Proportional to 48,788.88, 73,182.30 and 15,509

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Solution

The fourth proportional to 48,788.88, 73,182.30 and 15,509 is: 23,263.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,788.88 : 73,182.30 = 15,509 : x
  2. Step 2: Convert to fraction form
    48,788.88/73,182.30 = 15,509/x
  3. Step 3: Cross multiply
    48,788.88x = 73,182.30 × 15,509
  4. Step 4: Simplify right side
    48,788.88x = 1,134,984,290.70
  5. Step 5: Solve for x
    x = 1,134,984,290.70/48,788.88
  6. Step 6: Final answer
    x = 23,263.18

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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.