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Finding the Fourth Proportional to 54,402.71, 75,075.77 and 30,529.37

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Solution

The fourth proportional to 54,402.71, 75,075.77 and 30,529.37 is: 42,130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,402.71 : 75,075.77 = 30,529.37 : x
  2. Step 2: Convert to fraction form
    54,402.71/75,075.77 = 30,529.37/x
  3. Step 3: Cross multiply
    54,402.71x = 75,075.77 × 30,529.37
  4. Step 4: Simplify right side
    54,402.71x = 2,292,016,224.38
  5. Step 5: Solve for x
    x = 2,292,016,224.38/54,402.71
  6. Step 6: Final answer
    x = 42,130.56

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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.