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Finding the Fourth Proportional to 98,367.60, 147,532.20 and 32,703.60

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Solution

The fourth proportional to 98,367.60, 147,532.20 and 32,703.60 is: 49,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,367.60 : 147,532.20 = 32,703.60 : x
  2. Step 2: Convert to fraction form
    98,367.60/147,532.20 = 32,703.60/x
  3. Step 3: Cross multiply
    98,367.60x = 147,532.20 × 32,703.60
  4. Step 4: Simplify right side
    98,367.60x = 4,824,834,055.92
  5. Step 5: Solve for x
    x = 4,824,834,055.92/98,367.60
  6. Step 6: Final answer
    x = 49,049.02

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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.