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Finding the Fourth Proportional to 32,648.16, 48,964.32 and 15,101.22

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Solution

The fourth proportional to 32,648.16, 48,964.32 and 15,101.22 is: 22,648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,648.16 : 48,964.32 = 15,101.22 : x
  2. Step 2: Convert to fraction form
    32,648.16/48,964.32 = 15,101.22/x
  3. Step 3: Cross multiply
    32,648.16x = 48,964.32 × 15,101.22
  4. Step 4: Simplify right side
    32,648.16x = 739,420,968.47
  5. Step 5: Solve for x
    x = 739,420,968.47/32,648.16
  6. Step 6: Final answer
    x = 22,648.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.