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Finding the Fourth Proportional to 39,702.80, 59,683.80 and 34,000.40

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Solution

The fourth proportional to 39,702.80, 59,683.80 and 34,000.40 is: 51,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,702.80 : 59,683.80 = 34,000.40 : x
  2. Step 2: Convert to fraction form
    39,702.80/59,683.80 = 34,000.40/x
  3. Step 3: Cross multiply
    39,702.80x = 59,683.80 × 34,000.40
  4. Step 4: Simplify right side
    39,702.80x = 2,029,273,073.52
  5. Step 5: Solve for x
    x = 2,029,273,073.52/39,702.80
  6. Step 6: Final answer
    x = 51,111.59

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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.