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Finding the Fourth Proportional to 56,966.86, 78,608.64 and 33,094.54

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Solution

The fourth proportional to 56,966.86, 78,608.64 and 33,094.54 is: 45,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,966.86 : 78,608.64 = 33,094.54 : x
  2. Step 2: Convert to fraction form
    56,966.86/78,608.64 = 33,094.54/x
  3. Step 3: Cross multiply
    56,966.86x = 78,608.64 × 33,094.54
  4. Step 4: Simplify right side
    56,966.86x = 2,601,516,780.83
  5. Step 5: Solve for x
    x = 2,601,516,780.83/56,966.86
  6. Step 6: Final answer
    x = 45,667.20

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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.