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Finding the Fourth Proportional to 51,137.76, 70,564.38 and 28,471.52

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Solution

The fourth proportional to 51,137.76, 70,564.38 and 28,471.52 is: 39,287.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,137.76 : 70,564.38 = 28,471.52 : x
  2. Step 2: Convert to fraction form
    51,137.76/70,564.38 = 28,471.52/x
  3. Step 3: Cross multiply
    51,137.76x = 70,564.38 × 28,471.52
  4. Step 4: Simplify right side
    51,137.76x = 2,009,075,156.46
  5. Step 5: Solve for x
    x = 2,009,075,156.46/51,137.76
  6. Step 6: Final answer
    x = 39,287.51

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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.