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Finding the Fourth Proportional to 98,735.66, 148,103.91 and 31,268.04

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Solution

The fourth proportional to 98,735.66, 148,103.91 and 31,268.04 is: 46,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,735.66 : 148,103.91 = 31,268.04 : x
  2. Step 2: Convert to fraction form
    98,735.66/148,103.91 = 31,268.04/x
  3. Step 3: Cross multiply
    98,735.66x = 148,103.91 × 31,268.04
  4. Step 4: Simplify right side
    98,735.66x = 4,630,918,825.70
  5. Step 5: Solve for x
    x = 4,630,918,825.70/98,735.66
  6. Step 6: Final answer
    x = 46,902.19

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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.