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Finding the Fourth Proportional to 40,451.76, 55,807.38 and 24,530.40

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Solution

The fourth proportional to 40,451.76, 55,807.38 and 24,530.40 is: 33,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,451.76 : 55,807.38 = 24,530.40 : x
  2. Step 2: Convert to fraction form
    40,451.76/55,807.38 = 24,530.40/x
  3. Step 3: Cross multiply
    40,451.76x = 55,807.38 × 24,530.40
  4. Step 4: Simplify right side
    40,451.76x = 1,368,977,354.35
  5. Step 5: Solve for x
    x = 1,368,977,354.35/40,451.76
  6. Step 6: Final answer
    x = 33,842.22

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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.