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Finding the Fourth Proportional to 97,486.30, 146,230.66 and 34,308.32

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Solution

The fourth proportional to 97,486.30, 146,230.66 and 34,308.32 is: 51,462.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,486.30 : 146,230.66 = 34,308.32 : x
  2. Step 2: Convert to fraction form
    97,486.30/146,230.66 = 34,308.32/x
  3. Step 3: Cross multiply
    97,486.30x = 146,230.66 × 34,308.32
  4. Step 4: Simplify right side
    97,486.30x = 5,016,928,277.09
  5. Step 5: Solve for x
    x = 5,016,928,277.09/97,486.30
  6. Step 6: Final answer
    x = 51,462.91

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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.