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Finding the Fourth Proportional to 54,193.84, 74,762.24 and 35,079.78

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Solution

The fourth proportional to 54,193.84, 74,762.24 and 35,079.78 is: 48,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,193.84 : 74,762.24 = 35,079.78 : x
  2. Step 2: Convert to fraction form
    54,193.84/74,762.24 = 35,079.78/x
  3. Step 3: Cross multiply
    54,193.84x = 74,762.24 × 35,079.78
  4. Step 4: Simplify right side
    54,193.84x = 2,622,642,931.51
  5. Step 5: Solve for x
    x = 2,622,642,931.51/54,193.84
  6. Step 6: Final answer
    x = 48,393.75

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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.