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Finding the Fourth Proportional to 35,509.68, 49,009.32 and 21,363.84

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Solution

The fourth proportional to 35,509.68, 49,009.32 and 21,363.84 is: 29,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,509.68 : 49,009.32 = 21,363.84 : x
  2. Step 2: Convert to fraction form
    35,509.68/49,009.32 = 21,363.84/x
  3. Step 3: Cross multiply
    35,509.68x = 49,009.32 × 21,363.84
  4. Step 4: Simplify right side
    35,509.68x = 1,047,027,270.99
  5. Step 5: Solve for x
    x = 1,047,027,270.99/35,509.68
  6. Step 6: Final answer
    x = 29,485.69

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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.