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Finding the Fourth Proportional to 81,973, 122,988.66 and 40,449.16

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Solution

The fourth proportional to 81,973, 122,988.66 and 40,449.16 is: 60,688.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,973 : 122,988.66 = 40,449.16 : x
  2. Step 2: Convert to fraction form
    81,973/122,988.66 = 40,449.16/x
  3. Step 3: Cross multiply
    81,973x = 122,988.66 × 40,449.16
  4. Step 4: Simplify right side
    81,973x = 4,974,787,986.53
  5. Step 5: Solve for x
    x = 4,974,787,986.53/81,973
  6. Step 6: Final answer
    x = 60,688.13

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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.