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Finding the Fourth Proportional to 34,702.80, 52,054.02 and 8,407.55

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Solution

The fourth proportional to 34,702.80, 52,054.02 and 8,407.55 is: 12,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702.80 : 52,054.02 = 8,407.55 : x
  2. Step 2: Convert to fraction form
    34,702.80/52,054.02 = 8,407.55/x
  3. Step 3: Cross multiply
    34,702.80x = 52,054.02 × 8,407.55
  4. Step 4: Simplify right side
    34,702.80x = 437,646,515.58
  5. Step 5: Solve for x
    x = 437,646,515.58/34,702.80
  6. Step 6: Final answer
    x = 12,611.27

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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.