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Finding the Fourth Proportional to 97,399.80, 145,994.76 and 47,513.52

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Solution

The fourth proportional to 97,399.80, 145,994.76 and 47,513.52 is: 71,219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,399.80 : 145,994.76 = 47,513.52 : x
  2. Step 2: Convert to fraction form
    97,399.80/145,994.76 = 47,513.52/x
  3. Step 3: Cross multiply
    97,399.80x = 145,994.76 × 47,513.52
  4. Step 4: Simplify right side
    97,399.80x = 6,936,724,949.16
  5. Step 5: Solve for x
    x = 6,936,724,949.16/97,399.80
  6. Step 6: Final answer
    x = 71,219.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.