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Finding the Fourth Proportional to 35,539.65, 49,035.81 and 24,075.66

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Solution

The fourth proportional to 35,539.65, 49,035.81 and 24,075.66 is: 33,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,539.65 : 49,035.81 = 24,075.66 : x
  2. Step 2: Convert to fraction form
    35,539.65/49,035.81 = 24,075.66/x
  3. Step 3: Cross multiply
    35,539.65x = 49,035.81 × 24,075.66
  4. Step 4: Simplify right side
    35,539.65x = 1,180,569,489.38
  5. Step 5: Solve for x
    x = 1,180,569,489.38/35,539.65
  6. Step 6: Final answer
    x = 33,218.38

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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.