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Finding the Fourth Proportional to 49,784.81, 68,702.40 and 27,124.74

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Solution

The fourth proportional to 49,784.81, 68,702.40 and 27,124.74 is: 37,431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,784.81 : 68,702.40 = 27,124.74 : x
  2. Step 2: Convert to fraction form
    49,784.81/68,702.40 = 27,124.74/x
  3. Step 3: Cross multiply
    49,784.81x = 68,702.40 × 27,124.74
  4. Step 4: Simplify right side
    49,784.81x = 1,863,534,737.38
  5. Step 5: Solve for x
    x = 1,863,534,737.38/49,784.81
  6. Step 6: Final answer
    x = 37,431.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.