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Finding the Fourth Proportional to 31,143, 46,714.08 and 10,083.60

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Solution

The fourth proportional to 31,143, 46,714.08 and 10,083.60 is: 15,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,143 : 46,714.08 = 10,083.60 : x
  2. Step 2: Convert to fraction form
    31,143/46,714.08 = 10,083.60/x
  3. Step 3: Cross multiply
    31,143x = 46,714.08 × 10,083.60
  4. Step 4: Simplify right side
    31,143x = 471,046,097.09
  5. Step 5: Solve for x
    x = 471,046,097.09/31,143
  6. Step 6: Final answer
    x = 15,125.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.