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Finding the Fourth Proportional to 78,137.70, 107,830.29 and 42,327.60

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Solution

The fourth proportional to 78,137.70, 107,830.29 and 42,327.60 is: 58,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,137.70 : 107,830.29 = 42,327.60 : x
  2. Step 2: Convert to fraction form
    78,137.70/107,830.29 = 42,327.60/x
  3. Step 3: Cross multiply
    78,137.70x = 107,830.29 × 42,327.60
  4. Step 4: Simplify right side
    78,137.70x = 4,564,197,383.00
  5. Step 5: Solve for x
    x = 4,564,197,383.00/78,137.70
  6. Step 6: Final answer
    x = 58,412.23

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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.