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Finding the Fourth Proportional to 31,214.64, 46,818.48 and 7,841.16

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Solution

The fourth proportional to 31,214.64, 46,818.48 and 7,841.16 is: 11,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,214.64 : 46,818.48 = 7,841.16 : x
  2. Step 2: Convert to fraction form
    31,214.64/46,818.48 = 7,841.16/x
  3. Step 3: Cross multiply
    31,214.64x = 46,818.48 × 7,841.16
  4. Step 4: Simplify right side
    31,214.64x = 367,111,192.64
  5. Step 5: Solve for x
    x = 367,111,192.64/31,214.64
  6. Step 6: Final answer
    x = 11,760.87

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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.