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Finding the Fourth Proportional to 60,073.65, 90,083.14 and 31,986.50

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Solution

The fourth proportional to 60,073.65, 90,083.14 and 31,986.50 is: 47,965.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,073.65 : 90,083.14 = 31,986.50 : x
  2. Step 2: Convert to fraction form
    60,073.65/90,083.14 = 31,986.50/x
  3. Step 3: Cross multiply
    60,073.65x = 90,083.14 × 31,986.50
  4. Step 4: Simplify right side
    60,073.65x = 2,881,443,827.23
  5. Step 5: Solve for x
    x = 2,881,443,827.23/60,073.65
  6. Step 6: Final answer
    x = 47,965.19

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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.