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Finding the Fourth Proportional to 31,106.16, 46,659.06 and 7,732.44

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Solution

The fourth proportional to 31,106.16, 46,659.06 and 7,732.44 is: 11,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.16 : 46,659.06 = 7,732.44 : x
  2. Step 2: Convert to fraction form
    31,106.16/46,659.06 = 7,732.44/x
  3. Step 3: Cross multiply
    31,106.16x = 46,659.06 × 7,732.44
  4. Step 4: Simplify right side
    31,106.16x = 360,788,381.91
  5. Step 5: Solve for x
    x = 360,788,381.91/31,106.16
  6. Step 6: Final answer
    x = 11,598.62

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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.