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Finding the Fourth Proportional to 110,101.48, 165,158.50 and 31,209.50

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Solution

The fourth proportional to 110,101.48, 165,158.50 and 31,209.50 is: 46,816.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,101.48 : 165,158.50 = 31,209.50 : x
  2. Step 2: Convert to fraction form
    110,101.48/165,158.50 = 31,209.50/x
  3. Step 3: Cross multiply
    110,101.48x = 165,158.50 × 31,209.50
  4. Step 4: Simplify right side
    110,101.48x = 5,154,514,205.75
  5. Step 5: Solve for x
    x = 5,154,514,205.75/110,101.48
  6. Step 6: Final answer
    x = 46,816.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.