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Finding the Fourth Proportional to 56,894.86, 78,542.22 and 33,017.68

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Solution

The fourth proportional to 56,894.86, 78,542.22 and 33,017.68 is: 45,580.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,894.86 : 78,542.22 = 33,017.68 : x
  2. Step 2: Convert to fraction form
    56,894.86/78,542.22 = 33,017.68/x
  3. Step 3: Cross multiply
    56,894.86x = 78,542.22 × 33,017.68
  4. Step 4: Simplify right side
    56,894.86x = 2,593,281,886.45
  5. Step 5: Solve for x
    x = 2,593,281,886.45/56,894.86
  6. Step 6: Final answer
    x = 45,580.25

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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.