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Finding the Fourth Proportional to 32,320, 48,479.92 and 8,946.36

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Solution

The fourth proportional to 32,320, 48,479.92 and 8,946.36 is: 13,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,320 : 48,479.92 = 8,946.36 : x
  2. Step 2: Convert to fraction form
    32,320/48,479.92 = 8,946.36/x
  3. Step 3: Cross multiply
    32,320x = 48,479.92 × 8,946.36
  4. Step 4: Simplify right side
    32,320x = 433,718,817.09
  5. Step 5: Solve for x
    x = 433,718,817.09/32,320
  6. Step 6: Final answer
    x = 13,419.52

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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.