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Finding the Fourth Proportional to 58,442, 80,649.96 and 31,946

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Solution

The fourth proportional to 58,442, 80,649.96 and 31,946 is: 44,085.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,442 : 80,649.96 = 31,946 : x
  2. Step 2: Convert to fraction form
    58,442/80,649.96 = 31,946/x
  3. Step 3: Cross multiply
    58,442x = 80,649.96 × 31,946
  4. Step 4: Simplify right side
    58,442x = 2,576,443,622.16
  5. Step 5: Solve for x
    x = 2,576,443,622.16/58,442
  6. Step 6: Final answer
    x = 44,085.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.