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Finding the Fourth Proportional to 31,120.52, 46,683.42 and 13,602.65

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Solution

The fourth proportional to 31,120.52, 46,683.42 and 13,602.65 is: 20,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,120.52 : 46,683.42 = 13,602.65 : x
  2. Step 2: Convert to fraction form
    31,120.52/46,683.42 = 13,602.65/x
  3. Step 3: Cross multiply
    31,120.52x = 46,683.42 × 13,602.65
  4. Step 4: Simplify right side
    31,120.52x = 635,018,155.05
  5. Step 5: Solve for x
    x = 635,018,155.05/31,120.52
  6. Step 6: Final answer
    x = 20,405.13

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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.