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Finding the Fourth Proportional to 29,234.32, 43,848.74 and 8,176.24

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Solution

The fourth proportional to 29,234.32, 43,848.74 and 8,176.24 is: 12,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,234.32 : 43,848.74 = 8,176.24 : x
  2. Step 2: Convert to fraction form
    29,234.32/43,848.74 = 8,176.24/x
  3. Step 3: Cross multiply
    29,234.32x = 43,848.74 × 8,176.24
  4. Step 4: Simplify right side
    29,234.32x = 358,517,897.19
  5. Step 5: Solve for x
    x = 358,517,897.19/29,234.32
  6. Step 6: Final answer
    x = 12,263.60

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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.