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Finding the Fourth Proportional to 32,290.69, 48,436.19 and 9,801.56

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Solution

The fourth proportional to 32,290.69, 48,436.19 and 9,801.56 is: 14,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,290.69 : 48,436.19 = 9,801.56 : x
  2. Step 2: Convert to fraction form
    32,290.69/48,436.19 = 9,801.56/x
  3. Step 3: Cross multiply
    32,290.69x = 48,436.19 × 9,801.56
  4. Step 4: Simplify right side
    32,290.69x = 474,750,222.46
  5. Step 5: Solve for x
    x = 474,750,222.46/32,290.69
  6. Step 6: Final answer
    x = 14,702.39

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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.