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Finding the Fourth Proportional to 52,785.90, 72,844.79 and 28,912.50

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Solution

The fourth proportional to 52,785.90, 72,844.79 and 28,912.50 is: 39,899.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,785.90 : 72,844.79 = 28,912.50 : x
  2. Step 2: Convert to fraction form
    52,785.90/72,844.79 = 28,912.50/x
  3. Step 3: Cross multiply
    52,785.90x = 72,844.79 × 28,912.50
  4. Step 4: Simplify right side
    52,785.90x = 2,106,124,846.31
  5. Step 5: Solve for x
    x = 2,106,124,846.31/52,785.90
  6. Step 6: Final answer
    x = 39,899.38

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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.