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Finding the Fourth Proportional to 70,361.92, 97,095 and 38,531.20

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Solution

The fourth proportional to 70,361.92, 97,095 and 38,531.20 is: 53,170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,361.92 : 97,095 = 38,531.20 : x
  2. Step 2: Convert to fraction form
    70,361.92/97,095 = 38,531.20/x
  3. Step 3: Cross multiply
    70,361.92x = 97,095 × 38,531.20
  4. Step 4: Simplify right side
    70,361.92x = 3,741,186,864.00
  5. Step 5: Solve for x
    x = 3,741,186,864.00/70,361.92
  6. Step 6: Final answer
    x = 53,170.62

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1.5x scale

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.