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Finding the Fourth Proportional to 32,196.54, 48,285.45 and 12,470.70

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Solution

The fourth proportional to 32,196.54, 48,285.45 and 12,470.70 is: 18,702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,196.54 : 48,285.45 = 12,470.70 : x
  2. Step 2: Convert to fraction form
    32,196.54/48,285.45 = 12,470.70/x
  3. Step 3: Cross multiply
    32,196.54x = 48,285.45 × 12,470.70
  4. Step 4: Simplify right side
    32,196.54x = 602,153,361.32
  5. Step 5: Solve for x
    x = 602,153,361.32/32,196.54
  6. Step 6: Final answer
    x = 18,702.42

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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.