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Finding the Fourth Proportional to 78,702.09, 108,605.71 and 42,891.32

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Solution

The fourth proportional to 78,702.09, 108,605.71 and 42,891.32 is: 59,188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,702.09 : 108,605.71 = 42,891.32 : x
  2. Step 2: Convert to fraction form
    78,702.09/108,605.71 = 42,891.32/x
  3. Step 3: Cross multiply
    78,702.09x = 108,605.71 × 42,891.32
  4. Step 4: Simplify right side
    78,702.09x = 4,658,242,261.44
  5. Step 5: Solve for x
    x = 4,658,242,261.44/78,702.09
  6. Step 6: Final answer
    x = 59,188.29

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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.