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Finding the Fourth Proportional to 103,676.98, 155,514.45 and 47,501.16

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Solution

The fourth proportional to 103,676.98, 155,514.45 and 47,501.16 is: 71,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,676.98 : 155,514.45 = 47,501.16 : x
  2. Step 2: Convert to fraction form
    103,676.98/155,514.45 = 47,501.16/x
  3. Step 3: Cross multiply
    103,676.98x = 155,514.45 × 47,501.16
  4. Step 4: Simplify right side
    103,676.98x = 7,387,116,771.76
  5. Step 5: Solve for x
    x = 7,387,116,771.76/103,676.98
  6. Step 6: Final answer
    x = 71,251.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.