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Finding the Fourth Proportional to 32,687.52, 49,047.48 and 12,965.64

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Solution

The fourth proportional to 32,687.52, 49,047.48 and 12,965.64 is: 19,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,687.52 : 49,047.48 = 12,965.64 : x
  2. Step 2: Convert to fraction form
    32,687.52/49,047.48 = 12,965.64/x
  3. Step 3: Cross multiply
    32,687.52x = 49,047.48 × 12,965.64
  4. Step 4: Simplify right side
    32,687.52x = 635,931,968.59
  5. Step 5: Solve for x
    x = 635,931,968.59/32,687.52
  6. Step 6: Final answer
    x = 19,454.89

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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.