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Finding the Fourth Proportional to 42,594.56, 63,917.76 and 16,302

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Solution

The fourth proportional to 42,594.56, 63,917.76 and 16,302 is: 24,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,594.56 : 63,917.76 = 16,302 : x
  2. Step 2: Convert to fraction form
    42,594.56/63,917.76 = 16,302/x
  3. Step 3: Cross multiply
    42,594.56x = 63,917.76 × 16,302
  4. Step 4: Simplify right side
    42,594.56x = 1,041,987,323.52
  5. Step 5: Solve for x
    x = 1,041,987,323.52/42,594.56
  6. Step 6: Final answer
    x = 24,462.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.