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Finding the Fourth Proportional to 107,779.36, 161,727.36 and 45,448.24

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Solution

The fourth proportional to 107,779.36, 161,727.36 and 45,448.24 is: 68,196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,779.36 : 161,727.36 = 45,448.24 : x
  2. Step 2: Convert to fraction form
    107,779.36/161,727.36 = 45,448.24/x
  3. Step 3: Cross multiply
    107,779.36x = 161,727.36 × 45,448.24
  4. Step 4: Simplify right side
    107,779.36x = 7,350,223,871.85
  5. Step 5: Solve for x
    x = 7,350,223,871.85/107,779.36
  6. Step 6: Final answer
    x = 68,196.95

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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.