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Finding the Fourth Proportional to 56,094, 77,411.18 and 30,600.78

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Solution

The fourth proportional to 56,094, 77,411.18 and 30,600.78 is: 42,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,094 : 77,411.18 = 30,600.78 : x
  2. Step 2: Convert to fraction form
    56,094/77,411.18 = 30,600.78/x
  3. Step 3: Cross multiply
    56,094x = 77,411.18 × 30,600.78
  4. Step 4: Simplify right side
    56,094x = 2,368,842,335.72
  5. Step 5: Solve for x
    x = 2,368,842,335.72/56,094
  6. Step 6: Final answer
    x = 42,229.87

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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.