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Finding the Fourth Proportional to 97,572.60, 146,376.99 and 31,029.48

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Solution

The fourth proportional to 97,572.60, 146,376.99 and 31,029.48 is: 46,549.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,572.60 : 146,376.99 = 31,029.48 : x
  2. Step 2: Convert to fraction form
    97,572.60/146,376.99 = 31,029.48/x
  3. Step 3: Cross multiply
    97,572.60x = 146,376.99 × 31,029.48
  4. Step 4: Simplify right side
    97,572.60x = 4,542,001,883.67
  5. Step 5: Solve for x
    x = 4,542,001,883.67/97,572.60
  6. Step 6: Final answer
    x = 46,549.97

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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.