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Finding the Fourth Proportional to 97,407.90, 146,115.50 and 27,285.39

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Solution

The fourth proportional to 97,407.90, 146,115.50 and 27,285.39 is: 40,929.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,407.90 : 146,115.50 = 27,285.39 : x
  2. Step 2: Convert to fraction form
    97,407.90/146,115.50 = 27,285.39/x
  3. Step 3: Cross multiply
    97,407.90x = 146,115.50 × 27,285.39
  4. Step 4: Simplify right side
    97,407.90x = 3,986,818,266.12
  5. Step 5: Solve for x
    x = 3,986,818,266.12/97,407.90
  6. Step 6: Final answer
    x = 40,929.11

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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.