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Finding the Fourth Proportional to 97,370.52, 146,076.90 and 29,902.77

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Solution

The fourth proportional to 97,370.52, 146,076.90 and 29,902.77 is: 44,860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,370.52 : 146,076.90 = 29,902.77 : x
  2. Step 2: Convert to fraction form
    97,370.52/146,076.90 = 29,902.77/x
  3. Step 3: Cross multiply
    97,370.52x = 146,076.90 × 29,902.77
  4. Step 4: Simplify right side
    97,370.52x = 4,368,103,943.01
  5. Step 5: Solve for x
    x = 4,368,103,943.01/97,370.52
  6. Step 6: Final answer
    x = 44,860.64

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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.