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Finding the Fourth Proportional to 99,858.27, 149,779.21 and 29,737.59

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Solution

The fourth proportional to 99,858.27, 149,779.21 and 29,737.59 is: 44,603.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,858.27 : 149,779.21 = 29,737.59 : x
  2. Step 2: Convert to fraction form
    99,858.27/149,779.21 = 29,737.59/x
  3. Step 3: Cross multiply
    99,858.27x = 149,779.21 × 29,737.59
  4. Step 4: Simplify right side
    99,858.27x = 4,454,072,737.50
  5. Step 5: Solve for x
    x = 4,454,072,737.50/99,858.27
  6. Step 6: Final answer
    x = 44,603.94

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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.