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Finding the Fourth Proportional to 73,573, 101,530.74 and 40,039.24

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Solution

The fourth proportional to 73,573, 101,530.74 and 40,039.24 is: 55,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,573 : 101,530.74 = 40,039.24 : x
  2. Step 2: Convert to fraction form
    73,573/101,530.74 = 40,039.24/x
  3. Step 3: Cross multiply
    73,573x = 101,530.74 × 40,039.24
  4. Step 4: Simplify right side
    73,573x = 4,065,213,666.24
  5. Step 5: Solve for x
    x = 4,065,213,666.24/73,573
  6. Step 6: Final answer
    x = 55,254.15

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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.