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Finding the Fourth Proportional to 74,031, 102,162.84 and 40,497

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Solution

The fourth proportional to 74,031, 102,162.84 and 40,497 is: 55,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,031 : 102,162.84 = 40,497 : x
  2. Step 2: Convert to fraction form
    74,031/102,162.84 = 40,497/x
  3. Step 3: Cross multiply
    74,031x = 102,162.84 × 40,497
  4. Step 4: Simplify right side
    74,031x = 4,137,288,531.48
  5. Step 5: Solve for x
    x = 4,137,288,531.48/74,031
  6. Step 6: Final answer
    x = 55,885.89

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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.