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Finding the Fourth Proportional to 97,871.69, 146,792.96 and 31,304.88

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Solution

The fourth proportional to 97,871.69, 146,792.96 and 31,304.88 is: 46,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,871.69 : 146,792.96 = 31,304.88 : x
  2. Step 2: Convert to fraction form
    97,871.69/146,792.96 = 31,304.88/x
  3. Step 3: Cross multiply
    97,871.69x = 146,792.96 × 31,304.88
  4. Step 4: Simplify right side
    97,871.69x = 4,595,335,958.51
  5. Step 5: Solve for x
    x = 4,595,335,958.51/97,871.69
  6. Step 6: Final answer
    x = 46,952.66

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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.