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Finding the Fourth Proportional to 42,776.17, 64,175.19 and 17,807.92

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Solution

The fourth proportional to 42,776.17, 64,175.19 and 17,807.92 is: 26,716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,776.17 : 64,175.19 = 17,807.92 : x
  2. Step 2: Convert to fraction form
    42,776.17/64,175.19 = 17,807.92/x
  3. Step 3: Cross multiply
    42,776.17x = 64,175.19 × 17,807.92
  4. Step 4: Simplify right side
    42,776.17x = 1,142,826,649.50
  5. Step 5: Solve for x
    x = 1,142,826,649.50/42,776.17
  6. Step 6: Final answer
    x = 26,716.43

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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.