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Finding the Fourth Proportional to 99,352.53, 149,047.30 and 46,009.30

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Solution

The fourth proportional to 99,352.53, 149,047.30 and 46,009.30 is: 69,022.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,352.53 : 149,047.30 = 46,009.30 : x
  2. Step 2: Convert to fraction form
    99,352.53/149,047.30 = 46,009.30/x
  3. Step 3: Cross multiply
    99,352.53x = 149,047.30 × 46,009.30
  4. Step 4: Simplify right side
    99,352.53x = 6,857,561,363.40
  5. Step 5: Solve for x
    x = 6,857,561,363.40/99,352.53
  6. Step 6: Final answer
    x = 69,022.51

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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.