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Finding the Fourth Proportional to 34,702.83, 52,054.55 and 8,407.60

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Solution

The fourth proportional to 34,702.83, 52,054.55 and 8,407.60 is: 12,611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702.83 : 52,054.55 = 8,407.60 : x
  2. Step 2: Convert to fraction form
    34,702.83/52,054.55 = 8,407.60/x
  3. Step 3: Cross multiply
    34,702.83x = 52,054.55 × 8,407.60
  4. Step 4: Simplify right side
    34,702.83x = 437,653,693.93
  5. Step 5: Solve for x
    x = 437,653,693.93/34,702.83
  6. Step 6: Final answer
    x = 12,611.47

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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.