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Finding the Fourth Proportional to 34,761.96, 47,946.02 and 22,820.94

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Solution

The fourth proportional to 34,761.96, 47,946.02 and 22,820.94 is: 31,476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,761.96 : 47,946.02 = 22,820.94 : x
  2. Step 2: Convert to fraction form
    34,761.96/47,946.02 = 22,820.94/x
  3. Step 3: Cross multiply
    34,761.96x = 47,946.02 × 22,820.94
  4. Step 4: Simplify right side
    34,761.96x = 1,094,173,131.55
  5. Step 5: Solve for x
    x = 1,094,173,131.55/34,761.96
  6. Step 6: Final answer
    x = 31,476.16

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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.