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Finding the Fourth Proportional to 97,491.66, 146,237.52 and 35,162.16

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Solution

The fourth proportional to 97,491.66, 146,237.52 and 35,162.16 is: 52,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,491.66 : 146,237.52 = 35,162.16 : x
  2. Step 2: Convert to fraction form
    97,491.66/146,237.52 = 35,162.16/x
  3. Step 3: Cross multiply
    97,491.66x = 146,237.52 × 35,162.16
  4. Step 4: Simplify right side
    97,491.66x = 5,142,027,076.24
  5. Step 5: Solve for x
    x = 5,142,027,076.24/97,491.66
  6. Step 6: Final answer
    x = 52,743.25

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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.