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Finding the Fourth Proportional to 97,817.70, 146,775.15 and 38,655.30

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Solution

The fourth proportional to 97,817.70, 146,775.15 and 38,655.30 is: 58,002.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,817.70 : 146,775.15 = 38,655.30 : x
  2. Step 2: Convert to fraction form
    97,817.70/146,775.15 = 38,655.30/x
  3. Step 3: Cross multiply
    97,817.70x = 146,775.15 × 38,655.30
  4. Step 4: Simplify right side
    97,817.70x = 5,673,637,455.80
  5. Step 5: Solve for x
    x = 5,673,637,455.80/97,817.70
  6. Step 6: Final answer
    x = 58,002.16

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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.