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Finding the Fourth Proportional to 97,495.66, 146,243.52 and 35,166.16

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Solution

The fourth proportional to 97,495.66, 146,243.52 and 35,166.16 is: 52,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,495.66 : 146,243.52 = 35,166.16 : x
  2. Step 2: Convert to fraction form
    97,495.66/146,243.52 = 35,166.16/x
  3. Step 3: Cross multiply
    97,495.66x = 146,243.52 × 35,166.16
  4. Step 4: Simplify right side
    97,495.66x = 5,142,823,023.28
  5. Step 5: Solve for x
    x = 5,142,823,023.28/97,495.66
  6. Step 6: Final answer
    x = 52,749.25

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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.