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Finding the Fourth Proportional to 32,209.32, 48,387.74 and 19,070.76

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Solution

The fourth proportional to 32,209.32, 48,387.74 and 19,070.76 is: 28,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,209.32 : 48,387.74 = 19,070.76 : x
  2. Step 2: Convert to fraction form
    32,209.32/48,387.74 = 19,070.76/x
  3. Step 3: Cross multiply
    32,209.32x = 48,387.74 × 19,070.76
  4. Step 4: Simplify right side
    32,209.32x = 922,790,976.48
  5. Step 5: Solve for x
    x = 922,790,976.48/32,209.32
  6. Step 6: Final answer
    x = 28,649.81

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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.