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Finding the Fourth Proportional to 56,716.93, 78,264.12 and 32,845.15

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Solution

The fourth proportional to 56,716.93, 78,264.12 and 32,845.15 is: 45,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,716.93 : 78,264.12 = 32,845.15 : x
  2. Step 2: Convert to fraction form
    56,716.93/78,264.12 = 32,845.15/x
  3. Step 3: Cross multiply
    56,716.93x = 78,264.12 × 32,845.15
  4. Step 4: Simplify right side
    56,716.93x = 2,570,596,761.02
  5. Step 5: Solve for x
    x = 2,570,596,761.02/56,716.93
  6. Step 6: Final answer
    x = 45,323.27

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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.