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Finding the Fourth Proportional to 31,129.65, 46,684.53 and 10,065.24

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Solution

The fourth proportional to 31,129.65, 46,684.53 and 10,065.24 is: 15,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.65 : 46,684.53 = 10,065.24 : x
  2. Step 2: Convert to fraction form
    31,129.65/46,684.53 = 10,065.24/x
  3. Step 3: Cross multiply
    31,129.65x = 46,684.53 × 10,065.24
  4. Step 4: Simplify right side
    31,129.65x = 469,890,998.74
  5. Step 5: Solve for x
    x = 469,890,998.74/31,129.65
  6. Step 6: Final answer
    x = 15,094.64

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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.