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Finding the Fourth Proportional to 40,807.16, 56,322.66 and 31,141.72

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Solution

The fourth proportional to 40,807.16, 56,322.66 and 31,141.72 is: 42,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,807.16 : 56,322.66 = 31,141.72 : x
  2. Step 2: Convert to fraction form
    40,807.16/56,322.66 = 31,141.72/x
  3. Step 3: Cross multiply
    40,807.16x = 56,322.66 × 31,141.72
  4. Step 4: Simplify right side
    40,807.16x = 1,753,984,507.38
  5. Step 5: Solve for x
    x = 1,753,984,507.38/40,807.16
  6. Step 6: Final answer
    x = 42,982.27

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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.