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Finding the Fourth Proportional to 37,442.16, 56,169.72 and 11,144.16

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Solution

The fourth proportional to 37,442.16, 56,169.72 and 11,144.16 is: 16,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,442.16 : 56,169.72 = 11,144.16 : x
  2. Step 2: Convert to fraction form
    37,442.16/56,169.72 = 11,144.16/x
  3. Step 3: Cross multiply
    37,442.16x = 56,169.72 × 11,144.16
  4. Step 4: Simplify right side
    37,442.16x = 625,964,346.84
  5. Step 5: Solve for x
    x = 625,964,346.84/37,442.16
  6. Step 6: Final answer
    x = 16,718.17

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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.