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Finding the Fourth Proportional to 69,779.84, 96,295.50 and 37,949

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Solution

The fourth proportional to 69,779.84, 96,295.50 and 37,949 is: 52,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,779.84 : 96,295.50 = 37,949 : x
  2. Step 2: Convert to fraction form
    69,779.84/96,295.50 = 37,949/x
  3. Step 3: Cross multiply
    69,779.84x = 96,295.50 × 37,949
  4. Step 4: Simplify right side
    69,779.84x = 3,654,317,929.50
  5. Step 5: Solve for x
    x = 3,654,317,929.50/69,779.84
  6. Step 6: Final answer
    x = 52,369.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.