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Finding the Fourth Proportional to 55,495.62, 83,243.43 and 24,309

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Solution

The fourth proportional to 55,495.62, 83,243.43 and 24,309 is: 36,463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,495.62 : 83,243.43 = 24,309 : x
  2. Step 2: Convert to fraction form
    55,495.62/83,243.43 = 24,309/x
  3. Step 3: Cross multiply
    55,495.62x = 83,243.43 × 24,309
  4. Step 4: Simplify right side
    55,495.62x = 2,023,564,539.87
  5. Step 5: Solve for x
    x = 2,023,564,539.87/55,495.62
  6. Step 6: Final answer
    x = 36,463.50

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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.