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Finding the Fourth Proportional to 32,102.28, 48,109.68 and 19,626.66

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Solution

The fourth proportional to 32,102.28, 48,109.68 and 19,626.66 is: 29,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.28 : 48,109.68 = 19,626.66 : x
  2. Step 2: Convert to fraction form
    32,102.28/48,109.68 = 19,626.66/x
  3. Step 3: Cross multiply
    32,102.28x = 48,109.68 × 19,626.66
  4. Step 4: Simplify right side
    32,102.28x = 944,232,332.07
  5. Step 5: Solve for x
    x = 944,232,332.07/32,102.28
  6. Step 6: Final answer
    x = 29,413.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.