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Finding the Fourth Proportional to 96,761.36, 145,111.32 and 31,082

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Solution

The fourth proportional to 96,761.36, 145,111.32 and 31,082 is: 46,613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,761.36 : 145,111.32 = 31,082 : x
  2. Step 2: Convert to fraction form
    96,761.36/145,111.32 = 31,082/x
  3. Step 3: Cross multiply
    96,761.36x = 145,111.32 × 31,082
  4. Step 4: Simplify right side
    96,761.36x = 4,510,350,048.24
  5. Step 5: Solve for x
    x = 4,510,350,048.24/96,761.36
  6. Step 6: Final answer
    x = 46,613.13

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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.