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Finding the Fourth Proportional to 55,875.81, 83,813.71 and 16,432.92

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Solution

The fourth proportional to 55,875.81, 83,813.71 and 16,432.92 is: 24,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,875.81 : 83,813.71 = 16,432.92 : x
  2. Step 2: Convert to fraction form
    55,875.81/83,813.71 = 16,432.92/x
  3. Step 3: Cross multiply
    55,875.81x = 83,813.71 × 16,432.92
  4. Step 4: Simplify right side
    55,875.81x = 1,377,304,326.18
  5. Step 5: Solve for x
    x = 1,377,304,326.18/55,875.81
  6. Step 6: Final answer
    x = 24,649.38

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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.