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Finding the Fourth Proportional to 99,688.80, 149,533.20 and 29,567.50

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Solution

The fourth proportional to 99,688.80, 149,533.20 and 29,567.50 is: 44,351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,688.80 : 149,533.20 = 29,567.50 : x
  2. Step 2: Convert to fraction form
    99,688.80/149,533.20 = 29,567.50/x
  3. Step 3: Cross multiply
    99,688.80x = 149,533.20 × 29,567.50
  4. Step 4: Simplify right side
    99,688.80x = 4,421,322,891
  5. Step 5: Solve for x
    x = 4,421,322,891/99,688.80
  6. Step 6: Final answer
    x = 44,351.25

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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.