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Finding the Fourth Proportional to 113,583.84, 170,480.64 and 57,463.44

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Solution

The fourth proportional to 113,583.84, 170,480.64 and 57,463.44 is: 86,248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,583.84 : 170,480.64 = 57,463.44 : x
  2. Step 2: Convert to fraction form
    113,583.84/170,480.64 = 57,463.44/x
  3. Step 3: Cross multiply
    113,583.84x = 170,480.64 × 57,463.44
  4. Step 4: Simplify right side
    113,583.84x = 9,796,404,027.80
  5. Step 5: Solve for x
    x = 9,796,404,027.80/113,583.84
  6. Step 6: Final answer
    x = 86,248.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.