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Finding the Fourth Proportional to 73,995, 102,115.53 and 40,461

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Solution

The fourth proportional to 73,995, 102,115.53 and 40,461 is: 55,837.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,995 : 102,115.53 = 40,461 : x
  2. Step 2: Convert to fraction form
    73,995/102,115.53 = 40,461/x
  3. Step 3: Cross multiply
    73,995x = 102,115.53 × 40,461
  4. Step 4: Simplify right side
    73,995x = 4,131,696,459.33
  5. Step 5: Solve for x
    x = 4,131,696,459.33/73,995
  6. Step 6: Final answer
    x = 55,837.51

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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.