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Finding the Fourth Proportional to 57,370.32, 78,955.32 and 48,534

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Solution

The fourth proportional to 57,370.32, 78,955.32 and 48,534 is: 66,794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,370.32 : 78,955.32 = 48,534 : x
  2. Step 2: Convert to fraction form
    57,370.32/78,955.32 = 48,534/x
  3. Step 3: Cross multiply
    57,370.32x = 78,955.32 × 48,534
  4. Step 4: Simplify right side
    57,370.32x = 3,832,017,500.88
  5. Step 5: Solve for x
    x = 3,832,017,500.88/57,370.32
  6. Step 6: Final answer
    x = 66,794.42

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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.