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Finding the Fourth Proportional to 61,154.53, 84,393.41 and 35,678.41

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Solution

The fourth proportional to 61,154.53, 84,393.41 and 35,678.41 is: 49,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,154.53 : 84,393.41 = 35,678.41 : x
  2. Step 2: Convert to fraction form
    61,154.53/84,393.41 = 35,678.41/x
  3. Step 3: Cross multiply
    61,154.53x = 84,393.41 × 35,678.41
  4. Step 4: Simplify right side
    61,154.53x = 3,011,022,683.28
  5. Step 5: Solve for x
    x = 3,011,022,683.28/61,154.53
  6. Step 6: Final answer
    x = 49,236.30

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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.