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Finding the Fourth Proportional to 70,363.92, 97,097.76 and 38,533.20

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Solution

The fourth proportional to 70,363.92, 97,097.76 and 38,533.20 is: 53,173.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,363.92 : 97,097.76 = 38,533.20 : x
  2. Step 2: Convert to fraction form
    70,363.92/97,097.76 = 38,533.20/x
  3. Step 3: Cross multiply
    70,363.92x = 97,097.76 × 38,533.20
  4. Step 4: Simplify right side
    70,363.92x = 3,741,487,405.63
  5. Step 5: Solve for x
    x = 3,741,487,405.63/70,363.92
  6. Step 6: Final answer
    x = 53,173.38

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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.