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Finding the Fourth Proportional to 72,033.40, 107,985.30 and 45,724.60

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Solution

The fourth proportional to 72,033.40, 107,985.30 and 45,724.60 is: 68,545.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,033.40 : 107,985.30 = 45,724.60 : x
  2. Step 2: Convert to fraction form
    72,033.40/107,985.30 = 45,724.60/x
  3. Step 3: Cross multiply
    72,033.40x = 107,985.30 × 45,724.60
  4. Step 4: Simplify right side
    72,033.40x = 4,937,584,648.38
  5. Step 5: Solve for x
    x = 4,937,584,648.38/72,033.40
  6. Step 6: Final answer
    x = 68,545.77

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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.