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Finding the Fourth Proportional to 56,300, 84,394.08 and 31,351.44

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Solution

The fourth proportional to 56,300, 84,394.08 and 31,351.44 is: 46,996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,300 : 84,394.08 = 31,351.44 : x
  2. Step 2: Convert to fraction form
    56,300/84,394.08 = 31,351.44/x
  3. Step 3: Cross multiply
    56,300x = 84,394.08 × 31,351.44
  4. Step 4: Simplify right side
    56,300x = 2,645,875,935.48
  5. Step 5: Solve for x
    x = 2,645,875,935.48/56,300
  6. Step 6: Final answer
    x = 46,996.02

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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.