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Finding the Fourth Proportional to 85,010.34, 127,432.31 and 31,663.16

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Solution

The fourth proportional to 85,010.34, 127,432.31 and 31,663.16 is: 47,463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,010.34 : 127,432.31 = 31,663.16 : x
  2. Step 2: Convert to fraction form
    85,010.34/127,432.31 = 31,663.16/x
  3. Step 3: Cross multiply
    85,010.34x = 127,432.31 × 31,663.16
  4. Step 4: Simplify right side
    85,010.34x = 4,034,908,825.22
  5. Step 5: Solve for x
    x = 4,034,908,825.22/85,010.34
  6. Step 6: Final answer
    x = 47,463.74

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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.