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Finding the Fourth Proportional to 55,707.94, 83,569.74 and 16,267.96

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Solution

The fourth proportional to 55,707.94, 83,569.74 and 16,267.96 is: 24,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,707.94 : 83,569.74 = 16,267.96 : x
  2. Step 2: Convert to fraction form
    55,707.94/83,569.74 = 16,267.96/x
  3. Step 3: Cross multiply
    55,707.94x = 83,569.74 × 16,267.96
  4. Step 4: Simplify right side
    55,707.94x = 1,359,509,187.53
  5. Step 5: Solve for x
    x = 1,359,509,187.53/55,707.94
  6. Step 6: Final answer
    x = 24,404.23

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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.