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Finding the Fourth Proportional to 40,694.10, 61,041.15 and 34,133.10

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Solution

The fourth proportional to 40,694.10, 61,041.15 and 34,133.10 is: 51,199.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,694.10 : 61,041.15 = 34,133.10 : x
  2. Step 2: Convert to fraction form
    40,694.10/61,041.15 = 34,133.10/x
  3. Step 3: Cross multiply
    40,694.10x = 61,041.15 × 34,133.10
  4. Step 4: Simplify right side
    40,694.10x = 2,083,523,677.07
  5. Step 5: Solve for x
    x = 2,083,523,677.07/40,694.10
  6. Step 6: Final answer
    x = 51,199.65

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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.