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Finding the Fourth Proportional to 39,089.81, 58,633.90 and 9,507.80

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Solution

The fourth proportional to 39,089.81, 58,633.90 and 9,507.80 is: 14,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,089.81 : 58,633.90 = 9,507.80 : x
  2. Step 2: Convert to fraction form
    39,089.81/58,633.90 = 9,507.80/x
  3. Step 3: Cross multiply
    39,089.81x = 58,633.90 × 9,507.80
  4. Step 4: Simplify right side
    39,089.81x = 557,479,517.24
  5. Step 5: Solve for x
    x = 557,479,517.24/39,089.81
  6. Step 6: Final answer
    x = 14,261.50

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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.