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Finding the Fourth Proportional to 56,346.84, 77,752.10 and 32,473.31

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Solution

The fourth proportional to 56,346.84, 77,752.10 and 32,473.31 is: 44,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,346.84 : 77,752.10 = 32,473.31 : x
  2. Step 2: Convert to fraction form
    56,346.84/77,752.10 = 32,473.31/x
  3. Step 3: Cross multiply
    56,346.84x = 77,752.10 × 32,473.31
  4. Step 4: Simplify right side
    56,346.84x = 2,524,867,738.87
  5. Step 5: Solve for x
    x = 2,524,867,738.87/56,346.84
  6. Step 6: Final answer
    x = 44,809.39

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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.