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Finding the Fourth Proportional to 99,087.94, 148,631.38 and 24,208.50

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Solution

The fourth proportional to 99,087.94, 148,631.38 and 24,208.50 is: 36,312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,087.94 : 148,631.38 = 24,208.50 : x
  2. Step 2: Convert to fraction form
    99,087.94/148,631.38 = 24,208.50/x
  3. Step 3: Cross multiply
    99,087.94x = 148,631.38 × 24,208.50
  4. Step 4: Simplify right side
    99,087.94x = 3,598,142,762.73
  5. Step 5: Solve for x
    x = 3,598,142,762.73/99,087.94
  6. Step 6: Final answer
    x = 36,312.62

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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.