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Finding the Fourth Proportional to 32,077.40, 48,117.20 and 9,890.60

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Solution

The fourth proportional to 32,077.40, 48,117.20 and 9,890.60 is: 14,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.40 : 48,117.20 = 9,890.60 : x
  2. Step 2: Convert to fraction form
    32,077.40/48,117.20 = 9,890.60/x
  3. Step 3: Cross multiply
    32,077.40x = 48,117.20 × 9,890.60
  4. Step 4: Simplify right side
    32,077.40x = 475,907,978.32
  5. Step 5: Solve for x
    x = 475,907,978.32/32,077.40
  6. Step 6: Final answer
    x = 14,836.24

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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.