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Finding the Fourth Proportional to 35,677.60, 53,503.80 and 12,298.60

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Solution

The fourth proportional to 35,677.60, 53,503.80 and 12,298.60 is: 18,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,677.60 : 53,503.80 = 12,298.60 : x
  2. Step 2: Convert to fraction form
    35,677.60/53,503.80 = 12,298.60/x
  3. Step 3: Cross multiply
    35,677.60x = 53,503.80 × 12,298.60
  4. Step 4: Simplify right side
    35,677.60x = 658,021,834.68
  5. Step 5: Solve for x
    x = 658,021,834.68/35,677.60
  6. Step 6: Final answer
    x = 18,443.56

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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.