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Finding the Fourth Proportional to 52,785.36, 72,843.74 and 28,912.08

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Solution

The fourth proportional to 52,785.36, 72,843.74 and 28,912.08 is: 39,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,785.36 : 72,843.74 = 28,912.08 : x
  2. Step 2: Convert to fraction form
    52,785.36/72,843.74 = 28,912.08/x
  3. Step 3: Cross multiply
    52,785.36x = 72,843.74 × 28,912.08
  4. Step 4: Simplify right side
    52,785.36x = 2,106,064,038.38
  5. Step 5: Solve for x
    x = 2,106,064,038.38/52,785.36
  6. Step 6: Final answer
    x = 39,898.64

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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.