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Finding the Fourth Proportional to 56,332, 84,442.06 and 31,383.44

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Solution

The fourth proportional to 56,332, 84,442.06 and 31,383.44 is: 47,043.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,332 : 84,442.06 = 31,383.44 : x
  2. Step 2: Convert to fraction form
    56,332/84,442.06 = 31,383.44/x
  3. Step 3: Cross multiply
    56,332x = 84,442.06 × 31,383.44
  4. Step 4: Simplify right side
    56,332x = 2,650,082,323.49
  5. Step 5: Solve for x
    x = 2,650,082,323.49/56,332
  6. Step 6: Final answer
    x = 47,043.99

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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.