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Finding the Fourth Proportional to 98,874.32, 148,311.39 and 39,710

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Solution

The fourth proportional to 98,874.32, 148,311.39 and 39,710 is: 59,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,874.32 : 148,311.39 = 39,710 : x
  2. Step 2: Convert to fraction form
    98,874.32/148,311.39 = 39,710/x
  3. Step 3: Cross multiply
    98,874.32x = 148,311.39 × 39,710
  4. Step 4: Simplify right side
    98,874.32x = 5,889,445,296.90
  5. Step 5: Solve for x
    x = 5,889,445,296.90/98,874.32
  6. Step 6: Final answer
    x = 59,564.96

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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.