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Finding the Fourth Proportional to 98,774.22, 148,165.48 and 31,304.79

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Solution

The fourth proportional to 98,774.22, 148,165.48 and 31,304.79 is: 46,958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,774.22 : 148,165.48 = 31,304.79 : x
  2. Step 2: Convert to fraction form
    98,774.22/148,165.48 = 31,304.79/x
  3. Step 3: Cross multiply
    98,774.22x = 148,165.48 × 31,304.79
  4. Step 4: Simplify right side
    98,774.22x = 4,638,289,236.65
  5. Step 5: Solve for x
    x = 4,638,289,236.65/98,774.22
  6. Step 6: Final answer
    x = 46,958.50

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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.