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Finding the Fourth Proportional to 114,232.10, 171,348.11 and 31,126.10

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Solution

The fourth proportional to 114,232.10, 171,348.11 and 31,126.10 is: 46,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,232.10 : 171,348.11 = 31,126.10 : x
  2. Step 2: Convert to fraction form
    114,232.10/171,348.11 = 31,126.10/x
  3. Step 3: Cross multiply
    114,232.10x = 171,348.11 × 31,126.10
  4. Step 4: Simplify right side
    114,232.10x = 5,333,398,406.67
  5. Step 5: Solve for x
    x = 5,333,398,406.67/114,232.10
  6. Step 6: Final answer
    x = 46,689.14

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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.