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Finding the Fourth Proportional to 35,678.12, 49,237.02 and 21,528.20

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Solution

The fourth proportional to 35,678.12, 49,237.02 and 21,528.20 is: 29,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,678.12 : 49,237.02 = 21,528.20 : x
  2. Step 2: Convert to fraction form
    35,678.12/49,237.02 = 21,528.20/x
  3. Step 3: Cross multiply
    35,678.12x = 49,237.02 × 21,528.20
  4. Step 4: Simplify right side
    35,678.12x = 1,059,984,413.96
  5. Step 5: Solve for x
    x = 1,059,984,413.96/35,678.12
  6. Step 6: Final answer
    x = 29,709.65

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