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Finding the Fourth Proportional to 40,858.51, 56,387.15 and 30,769.15

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Solution

The fourth proportional to 40,858.51, 56,387.15 and 30,769.15 is: 42,463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,858.51 : 56,387.15 = 30,769.15 : x
  2. Step 2: Convert to fraction form
    40,858.51/56,387.15 = 30,769.15/x
  3. Step 3: Cross multiply
    40,858.51x = 56,387.15 × 30,769.15
  4. Step 4: Simplify right side
    40,858.51x = 1,734,984,612.38
  5. Step 5: Solve for x
    x = 1,734,984,612.38/40,858.51
  6. Step 6: Final answer
    x = 42,463.24

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Why These Related Problems?

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