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Finding the Fourth Proportional to 32,617.36, 48,929.02 and 10,128.16

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Solution

The fourth proportional to 32,617.36, 48,929.02 and 10,128.16 is: 15,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,617.36 : 48,929.02 = 10,128.16 : x
  2. Step 2: Convert to fraction form
    32,617.36/48,929.02 = 10,128.16/x
  3. Step 3: Cross multiply
    32,617.36x = 48,929.02 × 10,128.16
  4. Step 4: Simplify right side
    32,617.36x = 495,561,187.87
  5. Step 5: Solve for x
    x = 495,561,187.87/32,617.36
  6. Step 6: Final answer
    x = 15,193.17

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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.