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Finding the Fourth Proportional to 97,663.77, 146,517.75 and 31,107.69

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Solution

The fourth proportional to 97,663.77, 146,517.75 and 31,107.69 is: 46,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,663.77 : 146,517.75 = 31,107.69 : x
  2. Step 2: Convert to fraction form
    97,663.77/146,517.75 = 31,107.69/x
  3. Step 3: Cross multiply
    97,663.77x = 146,517.75 × 31,107.69
  4. Step 4: Simplify right side
    97,663.77x = 4,557,828,746.50
  5. Step 5: Solve for x
    x = 4,557,828,746.50/97,663.77
  6. Step 6: Final answer
    x = 46,668.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.