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Finding the Fourth Proportional to 52,987.74, 73,124.64 and 30,334

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Solution

The fourth proportional to 52,987.74, 73,124.64 and 30,334 is: 41,861.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,987.74 : 73,124.64 = 30,334 : x
  2. Step 2: Convert to fraction form
    52,987.74/73,124.64 = 30,334/x
  3. Step 3: Cross multiply
    52,987.74x = 73,124.64 × 30,334
  4. Step 4: Simplify right side
    52,987.74x = 2,218,162,829.76
  5. Step 5: Solve for x
    x = 2,218,162,829.76/52,987.74
  6. Step 6: Final answer
    x = 41,861.81

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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.