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Finding the Fourth Proportional to 71,016.98, 97,962.11 and 45,514.28

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Solution

The fourth proportional to 71,016.98, 97,962.11 and 45,514.28 is: 62,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,016.98 : 97,962.11 = 45,514.28 : x
  2. Step 2: Convert to fraction form
    71,016.98/97,962.11 = 45,514.28/x
  3. Step 3: Cross multiply
    71,016.98x = 97,962.11 × 45,514.28
  4. Step 4: Simplify right side
    71,016.98x = 4,458,674,186.55
  5. Step 5: Solve for x
    x = 4,458,674,186.55/71,016.98
  6. Step 6: Final answer
    x = 62,783.22

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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.