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Finding the Fourth Proportional to 97,641.30, 146,461.95 and 35,297.22

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Solution

The fourth proportional to 97,641.30, 146,461.95 and 35,297.22 is: 52,945.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,641.30 : 146,461.95 = 35,297.22 : x
  2. Step 2: Convert to fraction form
    97,641.30/146,461.95 = 35,297.22/x
  3. Step 3: Cross multiply
    97,641.30x = 146,461.95 × 35,297.22
  4. Step 4: Simplify right side
    97,641.30x = 5,169,699,670.78
  5. Step 5: Solve for x
    x = 5,169,699,670.78/97,641.30
  6. Step 6: Final answer
    x = 52,945.83

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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.