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Finding the Fourth Proportional to 101,384.91, 152,077.77 and 34,844.22

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Solution

The fourth proportional to 101,384.91, 152,077.77 and 34,844.22 is: 52,266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,384.91 : 152,077.77 = 34,844.22 : x
  2. Step 2: Convert to fraction form
    101,384.91/152,077.77 = 34,844.22/x
  3. Step 3: Cross multiply
    101,384.91x = 152,077.77 × 34,844.22
  4. Step 4: Simplify right side
    101,384.91x = 5,299,031,274.99
  5. Step 5: Solve for x
    x = 5,299,031,274.99/101,384.91
  6. Step 6: Final answer
    x = 52,266.47

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1.5x scale

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.