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Finding the Fourth Proportional to 98,843.69, 148,208.70 and 30,437.50

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Solution

The fourth proportional to 98,843.69, 148,208.70 and 30,437.50 is: 45,638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,843.69 : 148,208.70 = 30,437.50 : x
  2. Step 2: Convert to fraction form
    98,843.69/148,208.70 = 30,437.50/x
  3. Step 3: Cross multiply
    98,843.69x = 148,208.70 × 30,437.50
  4. Step 4: Simplify right side
    98,843.69x = 4,511,102,306.25
  5. Step 5: Solve for x
    x = 4,511,102,306.25/98,843.69
  6. Step 6: Final answer
    x = 45,638.75

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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.