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Finding the Fourth Proportional to 99,252.12, 148,886.37 and 31,794

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Solution

The fourth proportional to 99,252.12, 148,886.37 and 31,794 is: 47,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,252.12 : 148,886.37 = 31,794 : x
  2. Step 2: Convert to fraction form
    99,252.12/148,886.37 = 31,794/x
  3. Step 3: Cross multiply
    99,252.12x = 148,886.37 × 31,794
  4. Step 4: Simplify right side
    99,252.12x = 4,733,693,247.78
  5. Step 5: Solve for x
    x = 4,733,693,247.78/99,252.12
  6. Step 6: Final answer
    x = 47,693.62

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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.