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Finding the Fourth Proportional to 56,765.97, 78,354 and 32,903.37

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Solution

The fourth proportional to 56,765.97, 78,354 and 32,903.37 is: 45,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,765.97 : 78,354 = 32,903.37 : x
  2. Step 2: Convert to fraction form
    56,765.97/78,354 = 32,903.37/x
  3. Step 3: Cross multiply
    56,765.97x = 78,354 × 32,903.37
  4. Step 4: Simplify right side
    56,765.97x = 2,578,110,652.98
  5. Step 5: Solve for x
    x = 2,578,110,652.98/56,765.97
  6. Step 6: Final answer
    x = 45,416.48

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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.