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Finding the Fourth Proportional to 74,600.72, 102,948.36 and 41,066

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Solution

The fourth proportional to 74,600.72, 102,948.36 and 41,066 is: 56,670.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,600.72 : 102,948.36 = 41,066 : x
  2. Step 2: Convert to fraction form
    74,600.72/102,948.36 = 41,066/x
  3. Step 3: Cross multiply
    74,600.72x = 102,948.36 × 41,066
  4. Step 4: Simplify right side
    74,600.72x = 4,227,677,351.76
  5. Step 5: Solve for x
    x = 4,227,677,351.76/74,600.72
  6. Step 6: Final answer
    x = 56,670.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.