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Finding the Fourth Proportional to 71,415.98, 98,559.89 and 39,594.32

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Solution

The fourth proportional to 71,415.98, 98,559.89 and 39,594.32 is: 54,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,415.98 : 98,559.89 = 39,594.32 : x
  2. Step 2: Convert to fraction form
    71,415.98/98,559.89 = 39,594.32/x
  3. Step 3: Cross multiply
    71,415.98x = 98,559.89 × 39,594.32
  4. Step 4: Simplify right side
    71,415.98x = 3,902,411,133.05
  5. Step 5: Solve for x
    x = 3,902,411,133.05/71,415.98
  6. Step 6: Final answer
    x = 54,643.39

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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.