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Finding the Fourth Proportional to 51,415.40, 77,151.90 and 21,828.20

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Solution

The fourth proportional to 51,415.40, 77,151.90 and 21,828.20 is: 32,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,415.40 : 77,151.90 = 21,828.20 : x
  2. Step 2: Convert to fraction form
    51,415.40/77,151.90 = 21,828.20/x
  3. Step 3: Cross multiply
    51,415.40x = 77,151.90 × 21,828.20
  4. Step 4: Simplify right side
    51,415.40x = 1,684,087,103.58
  5. Step 5: Solve for x
    x = 1,684,087,103.58/51,415.40
  6. Step 6: Final answer
    x = 32,754.53

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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.