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Finding the Fourth Proportional to 51,466.76, 77,120.43 and 35,702.45

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Solution

The fourth proportional to 51,466.76, 77,120.43 and 35,702.45 is: 53,498.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,466.76 : 77,120.43 = 35,702.45 : x
  2. Step 2: Convert to fraction form
    51,466.76/77,120.43 = 35,702.45/x
  3. Step 3: Cross multiply
    51,466.76x = 77,120.43 × 35,702.45
  4. Step 4: Simplify right side
    51,466.76x = 2,753,388,296.05
  5. Step 5: Solve for x
    x = 2,753,388,296.05/51,466.76
  6. Step 6: Final answer
    x = 53,498.38

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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.