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Finding the Fourth Proportional to 99,952.64, 149,906.85 and 28,859.81

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Solution

The fourth proportional to 99,952.64, 149,906.85 and 28,859.81 is: 43,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,952.64 : 149,906.85 = 28,859.81 : x
  2. Step 2: Convert to fraction form
    99,952.64/149,906.85 = 28,859.81/x
  3. Step 3: Cross multiply
    99,952.64x = 149,906.85 × 28,859.81
  4. Step 4: Simplify right side
    99,952.64x = 4,326,282,459.16
  5. Step 5: Solve for x
    x = 4,326,282,459.16/99,952.64
  6. Step 6: Final answer
    x = 43,283.33

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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.