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Finding the Fourth Proportional to 39,671.55, 59,507.06 and 10,089

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Solution

The fourth proportional to 39,671.55, 59,507.06 and 10,089 is: 15,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,671.55 : 59,507.06 = 10,089 : x
  2. Step 2: Convert to fraction form
    39,671.55/59,507.06 = 10,089/x
  3. Step 3: Cross multiply
    39,671.55x = 59,507.06 × 10,089
  4. Step 4: Simplify right side
    39,671.55x = 600,366,677.90
  5. Step 5: Solve for x
    x = 600,366,677.90/39,671.55
  6. Step 6: Final answer
    x = 15,133.43

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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.