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Finding the Fourth Proportional to 48,656.34, 72,984.78 and 17,089.20

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Solution

The fourth proportional to 48,656.34, 72,984.78 and 17,089.20 is: 25,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,656.34 : 72,984.78 = 17,089.20 : x
  2. Step 2: Convert to fraction form
    48,656.34/72,984.78 = 17,089.20/x
  3. Step 3: Cross multiply
    48,656.34x = 72,984.78 × 17,089.20
  4. Step 4: Simplify right side
    48,656.34x = 1,247,251,502.38
  5. Step 5: Solve for x
    x = 1,247,251,502.38/48,656.34
  6. Step 6: Final answer
    x = 25,633.89

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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.