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Finding the Fourth Proportional to 32,004.10, 48,030.15 and 16,413.70

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Solution

The fourth proportional to 32,004.10, 48,030.15 and 16,413.70 is: 24,632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,004.10 : 48,030.15 = 16,413.70 : x
  2. Step 2: Convert to fraction form
    32,004.10/48,030.15 = 16,413.70/x
  3. Step 3: Cross multiply
    32,004.10x = 48,030.15 × 16,413.70
  4. Step 4: Simplify right side
    32,004.10x = 788,352,473.06
  5. Step 5: Solve for x
    x = 788,352,473.06/32,004.10
  6. Step 6: Final answer
    x = 24,632.86

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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.