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Finding the Fourth Proportional to 32,003.60, 48,029.40 and 16,413.20

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Solution

The fourth proportional to 32,003.60, 48,029.40 and 16,413.20 is: 24,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.60 : 48,029.40 = 16,413.20 : x
  2. Step 2: Convert to fraction form
    32,003.60/48,029.40 = 16,413.20/x
  3. Step 3: Cross multiply
    32,003.60x = 48,029.40 × 16,413.20
  4. Step 4: Simplify right side
    32,003.60x = 788,316,148.08
  5. Step 5: Solve for x
    x = 788,316,148.08/32,003.60
  6. Step 6: Final answer
    x = 24,632.11

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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.