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Finding the Fourth Proportional to 98,714.46, 148,071.54 and 32,154.48

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Solution

The fourth proportional to 98,714.46, 148,071.54 and 32,154.48 is: 48,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,714.46 : 148,071.54 = 32,154.48 : x
  2. Step 2: Convert to fraction form
    98,714.46/148,071.54 = 32,154.48/x
  3. Step 3: Cross multiply
    98,714.46x = 148,071.54 × 32,154.48
  4. Step 4: Simplify right side
    98,714.46x = 4,761,163,371.50
  5. Step 5: Solve for x
    x = 4,761,163,371.50/98,714.46
  6. Step 6: Final answer
    x = 48,231.67

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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.