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Finding the Fourth Proportional to 52,713.88, 72,746.32 and 28,840.54

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Solution

The fourth proportional to 52,713.88, 72,746.32 and 28,840.54 is: 39,800.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,713.88 : 72,746.32 = 28,840.54 : x
  2. Step 2: Convert to fraction form
    52,713.88/72,746.32 = 28,840.54/x
  3. Step 3: Cross multiply
    52,713.88x = 72,746.32 × 28,840.54
  4. Step 4: Simplify right side
    52,713.88x = 2,098,043,151.81
  5. Step 5: Solve for x
    x = 2,098,043,151.81/52,713.88
  6. Step 6: Final answer
    x = 39,800.58

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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.