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Finding the Fourth Proportional to 32,115.65, 44,319.65 and 17,968.50

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Solution

The fourth proportional to 32,115.65, 44,319.65 and 17,968.50 is: 24,796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,115.65 : 44,319.65 = 17,968.50 : x
  2. Step 2: Convert to fraction form
    32,115.65/44,319.65 = 17,968.50/x
  3. Step 3: Cross multiply
    32,115.65x = 44,319.65 × 17,968.50
  4. Step 4: Simplify right side
    32,115.65x = 796,357,541.18
  5. Step 5: Solve for x
    x = 796,357,541.18/32,115.65
  6. Step 6: Final answer
    x = 24,796.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.