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Finding the Fourth Proportional to 58,164.48, 87,272.64 and 30,456

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Solution

The fourth proportional to 58,164.48, 87,272.64 and 30,456 is: 45,697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,164.48 : 87,272.64 = 30,456 : x
  2. Step 2: Convert to fraction form
    58,164.48/87,272.64 = 30,456/x
  3. Step 3: Cross multiply
    58,164.48x = 87,272.64 × 30,456
  4. Step 4: Simplify right side
    58,164.48x = 2,657,975,523.84
  5. Step 5: Solve for x
    x = 2,657,975,523.84/58,164.48
  6. Step 6: Final answer
    x = 45,697.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.