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Finding the Fourth Proportional to 60,049, 82,867.62 and 33,553

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Solution

The fourth proportional to 60,049, 82,867.62 and 33,553 is: 46,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,049 : 82,867.62 = 33,553 : x
  2. Step 2: Convert to fraction form
    60,049/82,867.62 = 33,553/x
  3. Step 3: Cross multiply
    60,049x = 82,867.62 × 33,553
  4. Step 4: Simplify right side
    60,049x = 2,780,457,253.86
  5. Step 5: Solve for x
    x = 2,780,457,253.86/60,049
  6. Step 6: Final answer
    x = 46,303.14

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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.