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Finding the Fourth Proportional to 99,475, 149,239.84 and 29,354.32

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Solution

The fourth proportional to 99,475, 149,239.84 and 29,354.32 is: 44,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,475 : 149,239.84 = 29,354.32 : x
  2. Step 2: Convert to fraction form
    99,475/149,239.84 = 29,354.32/x
  3. Step 3: Cross multiply
    99,475x = 149,239.84 × 29,354.32
  4. Step 4: Simplify right side
    99,475x = 4,380,834,020.11
  5. Step 5: Solve for x
    x = 4,380,834,020.11/99,475
  6. Step 6: Final answer
    x = 44,039.55

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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.