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Finding the Fourth Proportional to 70,361.16, 97,099.47 and 38,533.02

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Solution

The fourth proportional to 70,361.16, 97,099.47 and 38,533.02 is: 53,176.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,361.16 : 97,099.47 = 38,533.02 : x
  2. Step 2: Convert to fraction form
    70,361.16/97,099.47 = 38,533.02/x
  3. Step 3: Cross multiply
    70,361.16x = 97,099.47 × 38,533.02
  4. Step 4: Simplify right side
    70,361.16x = 3,741,535,819.50
  5. Step 5: Solve for x
    x = 3,741,535,819.50/70,361.16
  6. Step 6: Final answer
    x = 53,176.15

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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.