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Finding the Fourth Proportional to 32,677.97, 49,024.54 and 10,187.54

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Solution

The fourth proportional to 32,677.97, 49,024.54 and 10,187.54 is: 15,283.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,677.97 : 49,024.54 = 10,187.54 : x
  2. Step 2: Convert to fraction form
    32,677.97/49,024.54 = 10,187.54/x
  3. Step 3: Cross multiply
    32,677.97x = 49,024.54 × 10,187.54
  4. Step 4: Simplify right side
    32,677.97x = 499,439,413.69
  5. Step 5: Solve for x
    x = 499,439,413.69/32,677.97
  6. Step 6: Final answer
    x = 15,283.68

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1.5x scale

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.