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Finding the Fourth Proportional to 32,143.58, 48,223.01 and 13,413.21

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Solution

The fourth proportional to 32,143.58, 48,223.01 and 13,413.21 is: 20,123.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.58 : 48,223.01 = 13,413.21 : x
  2. Step 2: Convert to fraction form
    32,143.58/48,223.01 = 13,413.21/x
  3. Step 3: Cross multiply
    32,143.58x = 48,223.01 × 13,413.21
  4. Step 4: Simplify right side
    32,143.58x = 646,825,212.66
  5. Step 5: Solve for x
    x = 646,825,212.66/32,143.58
  6. Step 6: Final answer
    x = 20,123.00

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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.