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Finding the Fourth Proportional to 97,717.60, 146,557.20 and 32,053.60

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Solution

The fourth proportional to 97,717.60, 146,557.20 and 32,053.60 is: 48,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,717.60 : 146,557.20 = 32,053.60 : x
  2. Step 2: Convert to fraction form
    97,717.60/146,557.20 = 32,053.60/x
  3. Step 3: Cross multiply
    97,717.60x = 146,557.20 × 32,053.60
  4. Step 4: Simplify right side
    97,717.60x = 4,697,685,865.92
  5. Step 5: Solve for x
    x = 4,697,685,865.92/97,717.60
  6. Step 6: Final answer
    x = 48,074.10

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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.