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Finding the Fourth Proportional to 32,813.98, 49,228.29 and 9,438.59

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Solution

The fourth proportional to 32,813.98, 49,228.29 and 9,438.59 is: 14,160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,813.98 : 49,228.29 = 9,438.59 : x
  2. Step 2: Convert to fraction form
    32,813.98/49,228.29 = 9,438.59/x
  3. Step 3: Cross multiply
    32,813.98x = 49,228.29 × 9,438.59
  4. Step 4: Simplify right side
    32,813.98x = 464,645,768.78
  5. Step 5: Solve for x
    x = 464,645,768.78/32,813.98
  6. Step 6: Final answer
    x = 14,160.00

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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.