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Finding the Fourth Proportional to 97,752.30, 146,579.23 and 47,757.48

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Solution

The fourth proportional to 97,752.30, 146,579.23 and 47,757.48 is: 71,612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,752.30 : 146,579.23 = 47,757.48 : x
  2. Step 2: Convert to fraction form
    97,752.30/146,579.23 = 47,757.48/x
  3. Step 3: Cross multiply
    97,752.30x = 146,579.23 × 47,757.48
  4. Step 4: Simplify right side
    97,752.30x = 7,000,254,645.14
  5. Step 5: Solve for x
    x = 7,000,254,645.14/97,752.30
  6. Step 6: Final answer
    x = 71,612.17

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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.