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Finding the Fourth Proportional to 97,508.32, 146,262.50 and 35,178.80

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Solution

The fourth proportional to 97,508.32, 146,262.50 and 35,178.80 is: 52,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,508.32 : 146,262.50 = 35,178.80 : x
  2. Step 2: Convert to fraction form
    97,508.32/146,262.50 = 35,178.80/x
  3. Step 3: Cross multiply
    97,508.32x = 146,262.50 × 35,178.80
  4. Step 4: Simplify right side
    97,508.32x = 5,145,339,235
  5. Step 5: Solve for x
    x = 5,145,339,235/97,508.32
  6. Step 6: Final answer
    x = 52,768.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.