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Finding the Fourth Proportional to 42,682.62, 64,019.13 and 16,368.90

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Solution

The fourth proportional to 42,682.62, 64,019.13 and 16,368.90 is: 24,551.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,682.62 : 64,019.13 = 16,368.90 : x
  2. Step 2: Convert to fraction form
    42,682.62/64,019.13 = 16,368.90/x
  3. Step 3: Cross multiply
    42,682.62x = 64,019.13 × 16,368.90
  4. Step 4: Simplify right side
    42,682.62x = 1,047,922,737.06
  5. Step 5: Solve for x
    x = 1,047,922,737.06/42,682.62
  6. Step 6: Final answer
    x = 24,551.51

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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.