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Finding the Fourth Proportional to 96,445, 144,745.98 and 49,711.24

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Solution

The fourth proportional to 96,445, 144,745.98 and 49,711.24 is: 74,607.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,445 : 144,745.98 = 49,711.24 : x
  2. Step 2: Convert to fraction form
    96,445/144,745.98 = 49,711.24/x
  3. Step 3: Cross multiply
    96,445x = 144,745.98 × 49,711.24
  4. Step 4: Simplify right side
    96,445x = 7,195,502,150.82
  5. Step 5: Solve for x
    x = 7,195,502,150.82/96,445
  6. Step 6: Final answer
    x = 74,607.31

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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.