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Finding the Fourth Proportional to 97,693, 146,545.71 and 27,577.78

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Solution

The fourth proportional to 97,693, 146,545.71 and 27,577.78 is: 41,368.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,693 : 146,545.71 = 27,577.78 : x
  2. Step 2: Convert to fraction form
    97,693/146,545.71 = 27,577.78/x
  3. Step 3: Cross multiply
    97,693x = 146,545.71 × 27,577.78
  4. Step 4: Simplify right side
    97,693x = 4,041,405,350.32
  5. Step 5: Solve for x
    x = 4,041,405,350.32/97,693
  6. Step 6: Final answer
    x = 41,368.42

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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.