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Finding the Fourth Proportional to 99,779, 149,693.16 and 29,658.02

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Solution

The fourth proportional to 99,779, 149,693.16 and 29,658.02 is: 44,494.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,779 : 149,693.16 = 29,658.02 : x
  2. Step 2: Convert to fraction form
    99,779/149,693.16 = 29,658.02/x
  3. Step 3: Cross multiply
    99,779x = 149,693.16 × 29,658.02
  4. Step 4: Simplify right side
    99,779x = 4,439,602,733.14
  5. Step 5: Solve for x
    x = 4,439,602,733.14/99,779
  6. Step 6: Final answer
    x = 44,494.36

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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.