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Finding the Fourth Proportional to 91,967.16, 137,960.46 and 39,362.52

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Solution

The fourth proportional to 91,967.16, 137,960.46 and 39,362.52 is: 59,047.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,967.16 : 137,960.46 = 39,362.52 : x
  2. Step 2: Convert to fraction form
    91,967.16/137,960.46 = 39,362.52/x
  3. Step 3: Cross multiply
    91,967.16x = 137,960.46 × 39,362.52
  4. Step 4: Simplify right side
    91,967.16x = 5,430,471,365.96
  5. Step 5: Solve for x
    x = 5,430,471,365.96/91,967.16
  6. Step 6: Final answer
    x = 59,047.94

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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.