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Finding the Fourth Proportional to 70,389.96, 97,138.26 and 38,558.16

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Solution

The fourth proportional to 70,389.96, 97,138.26 and 38,558.16 is: 53,210.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,389.96 : 97,138.26 = 38,558.16 : x
  2. Step 2: Convert to fraction form
    70,389.96/97,138.26 = 38,558.16/x
  3. Step 3: Cross multiply
    70,389.96x = 97,138.26 × 38,558.16
  4. Step 4: Simplify right side
    70,389.96x = 3,745,472,571.20
  5. Step 5: Solve for x
    x = 3,745,472,571.20/70,389.96
  6. Step 6: Final answer
    x = 53,210.32

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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.