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Finding the Fourth Proportional to 77,310.90, 106,689.07 and 47,096.22

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Solution

The fourth proportional to 77,310.90, 106,689.07 and 47,096.22 is: 64,992.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,310.90 : 106,689.07 = 47,096.22 : x
  2. Step 2: Convert to fraction form
    77,310.90/106,689.07 = 47,096.22/x
  3. Step 3: Cross multiply
    77,310.90x = 106,689.07 × 47,096.22
  4. Step 4: Simplify right side
    77,310.90x = 5,024,652,305.09
  5. Step 5: Solve for x
    x = 5,024,652,305.09/77,310.90
  6. Step 6: Final answer
    x = 64,992.80

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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.