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Finding the Fourth Proportional to 73,948.50, 102,051.45 and 40,416.66

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Solution

The fourth proportional to 73,948.50, 102,051.45 and 40,416.66 is: 55,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,948.50 : 102,051.45 = 40,416.66 : x
  2. Step 2: Convert to fraction form
    73,948.50/102,051.45 = 40,416.66/x
  3. Step 3: Cross multiply
    73,948.50x = 102,051.45 × 40,416.66
  4. Step 4: Simplify right side
    73,948.50x = 4,124,578,757.16
  5. Step 5: Solve for x
    x = 4,124,578,757.16/73,948.50
  6. Step 6: Final answer
    x = 55,776.37

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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.