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Finding the Fourth Proportional to 95,058.96, 142,559.64 and 39,642

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Solution

The fourth proportional to 95,058.96, 142,559.64 and 39,642 is: 59,450.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,058.96 : 142,559.64 = 39,642 : x
  2. Step 2: Convert to fraction form
    95,058.96/142,559.64 = 39,642/x
  3. Step 3: Cross multiply
    95,058.96x = 142,559.64 × 39,642
  4. Step 4: Simplify right side
    95,058.96x = 5,651,349,248.88
  5. Step 5: Solve for x
    x = 5,651,349,248.88/95,058.96
  6. Step 6: Final answer
    x = 59,450.99

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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.