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Finding the Fourth Proportional to 35,866.38, 49,507.95 and 21,719.22

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Solution

The fourth proportional to 35,866.38, 49,507.95 and 21,719.22 is: 29,980.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,866.38 : 49,507.95 = 21,719.22 : x
  2. Step 2: Convert to fraction form
    35,866.38/49,507.95 = 21,719.22/x
  3. Step 3: Cross multiply
    35,866.38x = 49,507.95 × 21,719.22
  4. Step 4: Simplify right side
    35,866.38x = 1,075,274,057.80
  5. Step 5: Solve for x
    x = 1,075,274,057.80/35,866.38
  6. Step 6: Final answer
    x = 29,980.00

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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.