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Finding the Fourth Proportional to 97,006.35, 133,869.87 and 54,564.51

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Solution

The fourth proportional to 97,006.35, 133,869.87 and 54,564.51 is: 75,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,006.35 : 133,869.87 = 54,564.51 : x
  2. Step 2: Convert to fraction form
    97,006.35/133,869.87 = 54,564.51/x
  3. Step 3: Cross multiply
    97,006.35x = 133,869.87 × 54,564.51
  4. Step 4: Simplify right side
    97,006.35x = 7,304,543,860.31
  5. Step 5: Solve for x
    x = 7,304,543,860.31/97,006.35
  6. Step 6: Final answer
    x = 75,299.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.