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Finding the Fourth Proportional to 99,057.36, 148,584.12 and 24,178

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Solution

The fourth proportional to 99,057.36, 148,584.12 and 24,178 is: 36,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,057.36 : 148,584.12 = 24,178 : x
  2. Step 2: Convert to fraction form
    99,057.36/148,584.12 = 24,178/x
  3. Step 3: Cross multiply
    99,057.36x = 148,584.12 × 24,178
  4. Step 4: Simplify right side
    99,057.36x = 3,592,466,853.36
  5. Step 5: Solve for x
    x = 3,592,466,853.36/99,057.36
  6. Step 6: Final answer
    x = 36,266.53

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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.