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Finding the Fourth Proportional to 97,658.56, 146,389.08 and 38,471.20

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Solution

The fourth proportional to 97,658.56, 146,389.08 and 38,471.20 is: 57,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,658.56 : 146,389.08 = 38,471.20 : x
  2. Step 2: Convert to fraction form
    97,658.56/146,389.08 = 38,471.20/x
  3. Step 3: Cross multiply
    97,658.56x = 146,389.08 × 38,471.20
  4. Step 4: Simplify right side
    97,658.56x = 5,631,763,574.50
  5. Step 5: Solve for x
    x = 5,631,763,574.50/97,658.56
  6. Step 6: Final answer
    x = 57,667.89

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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.