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Finding the Fourth Proportional to 33,052.48, 49,565.12 and 16,406.40

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Solution

The fourth proportional to 33,052.48, 49,565.12 and 16,406.40 is: 24,602.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,052.48 : 49,565.12 = 16,406.40 : x
  2. Step 2: Convert to fraction form
    33,052.48/49,565.12 = 16,406.40/x
  3. Step 3: Cross multiply
    33,052.48x = 49,565.12 × 16,406.40
  4. Step 4: Simplify right side
    33,052.48x = 813,185,184.77
  5. Step 5: Solve for x
    x = 813,185,184.77/33,052.48
  6. Step 6: Final answer
    x = 24,602.85

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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.