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Finding the Fourth Proportional to 97,612.29, 146,362.95 and 38,415.87

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Solution

The fourth proportional to 97,612.29, 146,362.95 and 38,415.87 is: 57,601.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,612.29 : 146,362.95 = 38,415.87 : x
  2. Step 2: Convert to fraction form
    97,612.29/146,362.95 = 38,415.87/x
  3. Step 3: Cross multiply
    97,612.29x = 146,362.95 × 38,415.87
  4. Step 4: Simplify right side
    97,612.29x = 5,622,660,060.02
  5. Step 5: Solve for x
    x = 5,622,660,060.02/97,612.29
  6. Step 6: Final answer
    x = 57,601.97

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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.