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Finding the Fourth Proportional to 32,537.60, 48,806.40 and 19,383.20

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Solution

The fourth proportional to 32,537.60, 48,806.40 and 19,383.20 is: 29,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,537.60 : 48,806.40 = 19,383.20 : x
  2. Step 2: Convert to fraction form
    32,537.60/48,806.40 = 19,383.20/x
  3. Step 3: Cross multiply
    32,537.60x = 48,806.40 × 19,383.20
  4. Step 4: Simplify right side
    32,537.60x = 946,024,212.48
  5. Step 5: Solve for x
    x = 946,024,212.48/32,537.60
  6. Step 6: Final answer
    x = 29,074.80

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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.