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Finding the Fourth Proportional to 78,070.98, 107,738.31 and 42,261.01

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Solution

The fourth proportional to 78,070.98, 107,738.31 and 42,261.01 is: 58,320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,070.98 : 107,738.31 = 42,261.01 : x
  2. Step 2: Convert to fraction form
    78,070.98/107,738.31 = 42,261.01/x
  3. Step 3: Cross multiply
    78,070.98x = 107,738.31 × 42,261.01
  4. Step 4: Simplify right side
    78,070.98x = 4,553,129,796.29
  5. Step 5: Solve for x
    x = 4,553,129,796.29/78,070.98
  6. Step 6: Final answer
    x = 58,320.39

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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.