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Finding the Fourth Proportional to 56,058.38, 77,361.16 and 30,564.53

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Solution

The fourth proportional to 56,058.38, 77,361.16 and 30,564.53 is: 42,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,058.38 : 77,361.16 = 30,564.53 : x
  2. Step 2: Convert to fraction form
    56,058.38/77,361.16 = 30,564.53/x
  3. Step 3: Cross multiply
    56,058.38x = 77,361.16 × 30,564.53
  4. Step 4: Simplify right side
    56,058.38x = 2,364,507,765.47
  5. Step 5: Solve for x
    x = 2,364,507,765.47/56,058.38
  6. Step 6: Final answer
    x = 42,179.38

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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.