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Finding the Fourth Proportional to 42,869.76, 64,298.16 and 16,571.22

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Solution

The fourth proportional to 42,869.76, 64,298.16 and 16,571.22 is: 24,854.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,869.76 : 64,298.16 = 16,571.22 : x
  2. Step 2: Convert to fraction form
    42,869.76/64,298.16 = 16,571.22/x
  3. Step 3: Cross multiply
    42,869.76x = 64,298.16 × 16,571.22
  4. Step 4: Simplify right side
    42,869.76x = 1,065,498,954.96
  5. Step 5: Solve for x
    x = 1,065,498,954.96/42,869.76
  6. Step 6: Final answer
    x = 24,854.33

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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.