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Finding the Fourth Proportional to 57,468.96, 79,282.80 and 35,100

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Solution

The fourth proportional to 57,468.96, 79,282.80 and 35,100 is: 48,423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,468.96 : 79,282.80 = 35,100 : x
  2. Step 2: Convert to fraction form
    57,468.96/79,282.80 = 35,100/x
  3. Step 3: Cross multiply
    57,468.96x = 79,282.80 × 35,100
  4. Step 4: Simplify right side
    57,468.96x = 2,782,826,280
  5. Step 5: Solve for x
    x = 2,782,826,280/57,468.96
  6. Step 6: Final answer
    x = 48,423.12

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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.