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Finding the Fourth Proportional to 99,225, 148,838.31 and 36,895.50

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Solution

The fourth proportional to 99,225, 148,838.31 and 36,895.50 is: 55,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,225 : 148,838.31 = 36,895.50 : x
  2. Step 2: Convert to fraction form
    99,225/148,838.31 = 36,895.50/x
  3. Step 3: Cross multiply
    99,225x = 148,838.31 × 36,895.50
  4. Step 4: Simplify right side
    99,225x = 5,491,463,866.61
  5. Step 5: Solve for x
    x = 5,491,463,866.61/99,225
  6. Step 6: Final answer
    x = 55,343.55

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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.