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Finding the Fourth Proportional to 32,654.38, 45,050.06 and 21,320.24

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Solution

The fourth proportional to 32,654.38, 45,050.06 and 21,320.24 is: 29,413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,654.38 : 45,050.06 = 21,320.24 : x
  2. Step 2: Convert to fraction form
    32,654.38/45,050.06 = 21,320.24/x
  3. Step 3: Cross multiply
    32,654.38x = 45,050.06 × 21,320.24
  4. Step 4: Simplify right side
    32,654.38x = 960,478,091.21
  5. Step 5: Solve for x
    x = 960,478,091.21/32,654.38
  6. Step 6: Final answer
    x = 29,413.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.