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Finding the Fourth Proportional to 57,946.74, 79,978.98 and 35,293.20

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Solution

The fourth proportional to 57,946.74, 79,978.98 and 35,293.20 is: 48,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,946.74 : 79,978.98 = 35,293.20 : x
  2. Step 2: Convert to fraction form
    57,946.74/79,978.98 = 35,293.20/x
  3. Step 3: Cross multiply
    57,946.74x = 79,978.98 × 35,293.20
  4. Step 4: Simplify right side
    57,946.74x = 2,822,714,136.94
  5. Step 5: Solve for x
    x = 2,822,714,136.94/57,946.74
  6. Step 6: Final answer
    x = 48,712.22

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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.