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Finding the Fourth Proportional to 51,437.48, 70,963.44 and 32,306

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Solution

The fourth proportional to 51,437.48, 70,963.44 and 32,306 is: 44,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,437.48 : 70,963.44 = 32,306 : x
  2. Step 2: Convert to fraction form
    51,437.48/70,963.44 = 32,306/x
  3. Step 3: Cross multiply
    51,437.48x = 70,963.44 × 32,306
  4. Step 4: Simplify right side
    51,437.48x = 2,292,544,892.64
  5. Step 5: Solve for x
    x = 2,292,544,892.64/51,437.48
  6. Step 6: Final answer
    x = 44,569.54

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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.