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Finding the Fourth Proportional to 32,640, 48,953.13 and 15,983.25

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Solution

The fourth proportional to 32,640, 48,953.13 and 15,983.25 is: 23,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,640 : 48,953.13 = 15,983.25 : x
  2. Step 2: Convert to fraction form
    32,640/48,953.13 = 15,983.25/x
  3. Step 3: Cross multiply
    32,640x = 48,953.13 × 15,983.25
  4. Step 4: Simplify right side
    32,640x = 782,430,115.07
  5. Step 5: Solve for x
    x = 782,430,115.07/32,640
  6. Step 6: Final answer
    x = 23,971.51

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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.