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Finding the Fourth Proportional to 55,689.19, 83,537.43 and 16,243

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Solution

The fourth proportional to 55,689.19, 83,537.43 and 16,243 is: 24,365.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,689.19 : 83,537.43 = 16,243 : x
  2. Step 2: Convert to fraction form
    55,689.19/83,537.43 = 16,243/x
  3. Step 3: Cross multiply
    55,689.19x = 83,537.43 × 16,243
  4. Step 4: Simplify right side
    55,689.19x = 1,356,898,475.49
  5. Step 5: Solve for x
    x = 1,356,898,475.49/55,689.19
  6. Step 6: Final answer
    x = 24,365.56

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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.