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Finding the Fourth Proportional to 97,394.52, 145,981.05 and 41,199.56

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Solution

The fourth proportional to 97,394.52, 145,981.05 and 41,199.56 is: 61,752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,394.52 : 145,981.05 = 41,199.56 : x
  2. Step 2: Convert to fraction form
    97,394.52/145,981.05 = 41,199.56/x
  3. Step 3: Cross multiply
    97,394.52x = 145,981.05 × 41,199.56
  4. Step 4: Simplify right side
    97,394.52x = 6,014,355,028.34
  5. Step 5: Solve for x
    x = 6,014,355,028.34/97,394.52
  6. Step 6: Final answer
    x = 61,752.50

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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.