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Finding the Fourth Proportional to 32,413.41, 48,628.31 and 9,039.84

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Solution

The fourth proportional to 32,413.41, 48,628.31 and 9,039.84 is: 13,562.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,413.41 : 48,628.31 = 9,039.84 : x
  2. Step 2: Convert to fraction form
    32,413.41/48,628.31 = 9,039.84/x
  3. Step 3: Cross multiply
    32,413.41x = 48,628.31 × 9,039.84
  4. Step 4: Simplify right side
    32,413.41x = 439,592,346.83
  5. Step 5: Solve for x
    x = 439,592,346.83/32,413.41
  6. Step 6: Final answer
    x = 13,562.05

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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.