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Finding the Fourth Proportional to 97,703.60, 146,536.20 and 32,039.60

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Solution

The fourth proportional to 97,703.60, 146,536.20 and 32,039.60 is: 48,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,703.60 : 146,536.20 = 32,039.60 : x
  2. Step 2: Convert to fraction form
    97,703.60/146,536.20 = 32,039.60/x
  3. Step 3: Cross multiply
    97,703.60x = 146,536.20 × 32,039.60
  4. Step 4: Simplify right side
    97,703.60x = 4,694,961,233.52
  5. Step 5: Solve for x
    x = 4,694,961,233.52/97,703.60
  6. Step 6: Final answer
    x = 48,053.10

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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.