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Finding the Fourth Proportional to 98,556.32, 147,905.76 and 39,408.50

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Solution

The fourth proportional to 98,556.32, 147,905.76 and 39,408.50 is: 59,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,556.32 : 147,905.76 = 39,408.50 : x
  2. Step 2: Convert to fraction form
    98,556.32/147,905.76 = 39,408.50/x
  3. Step 3: Cross multiply
    98,556.32x = 147,905.76 × 39,408.50
  4. Step 4: Simplify right side
    98,556.32x = 5,828,743,496.03
  5. Step 5: Solve for x
    x = 5,828,743,496.03/98,556.32
  6. Step 6: Final answer
    x = 59,141.25

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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.