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Finding the Fourth Proportional to 77,779.44, 116,673.48 and 22,374

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Solution

The fourth proportional to 77,779.44, 116,673.48 and 22,374 is: 33,562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,779.44 : 116,673.48 = 22,374 : x
  2. Step 2: Convert to fraction form
    77,779.44/116,673.48 = 22,374/x
  3. Step 3: Cross multiply
    77,779.44x = 116,673.48 × 22,374
  4. Step 4: Simplify right side
    77,779.44x = 2,610,452,441.52
  5. Step 5: Solve for x
    x = 2,610,452,441.52/77,779.44
  6. Step 6: Final answer
    x = 33,562.24

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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.