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Finding the Fourth Proportional to 98,592.40, 147,910.20 and 32,021.20

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Solution

The fourth proportional to 98,592.40, 147,910.20 and 32,021.20 is: 48,038.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,592.40 : 147,910.20 = 32,021.20 : x
  2. Step 2: Convert to fraction form
    98,592.40/147,910.20 = 32,021.20/x
  3. Step 3: Cross multiply
    98,592.40x = 147,910.20 × 32,021.20
  4. Step 4: Simplify right side
    98,592.40x = 4,736,262,096.24
  5. Step 5: Solve for x
    x = 4,736,262,096.24/98,592.40
  6. Step 6: Final answer
    x = 48,038.82

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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.