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Finding the Fourth Proportional to 34,174.63, 47,126.50 and 22,844.17

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Solution

The fourth proportional to 34,174.63, 47,126.50 and 22,844.17 is: 31,501.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,174.63 : 47,126.50 = 22,844.17 : x
  2. Step 2: Convert to fraction form
    34,174.63/47,126.50 = 22,844.17/x
  3. Step 3: Cross multiply
    34,174.63x = 47,126.50 × 22,844.17
  4. Step 4: Simplify right side
    34,174.63x = 1,076,565,777.51
  5. Step 5: Solve for x
    x = 1,076,565,777.51/34,174.63
  6. Step 6: Final answer
    x = 31,501.90

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1.5x scale

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.