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Finding the Fourth Proportional to 32,607.20, 48,802.80 and 23,697.20

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Solution

The fourth proportional to 32,607.20, 48,802.80 and 23,697.20 is: 35,467.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,607.20 : 48,802.80 = 23,697.20 : x
  2. Step 2: Convert to fraction form
    32,607.20/48,802.80 = 23,697.20/x
  3. Step 3: Cross multiply
    32,607.20x = 48,802.80 × 23,697.20
  4. Step 4: Simplify right side
    32,607.20x = 1,156,489,712.16
  5. Step 5: Solve for x
    x = 1,156,489,712.16/32,607.20
  6. Step 6: Final answer
    x = 35,467.31

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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.