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Finding the Fourth Proportional to 97,803.48, 146,724.93 and 34,640.76

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Solution

The fourth proportional to 97,803.48, 146,724.93 and 34,640.76 is: 51,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,803.48 : 146,724.93 = 34,640.76 : x
  2. Step 2: Convert to fraction form
    97,803.48/146,724.93 = 34,640.76/x
  3. Step 3: Cross multiply
    97,803.48x = 146,724.93 × 34,640.76
  4. Step 4: Simplify right side
    97,803.48x = 5,082,663,086.15
  5. Step 5: Solve for x
    x = 5,082,663,086.15/97,803.48
  6. Step 6: Final answer
    x = 51,968.12

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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.