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Finding the Fourth Proportional to 52,730.16, 72,767.60 and 28,856.84

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Solution

The fourth proportional to 52,730.16, 72,767.60 and 28,856.84 is: 39,822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,730.16 : 72,767.60 = 28,856.84 : x
  2. Step 2: Convert to fraction form
    52,730.16/72,767.60 = 28,856.84/x
  3. Step 3: Cross multiply
    52,730.16x = 72,767.60 × 28,856.84
  4. Step 4: Simplify right side
    52,730.16x = 2,099,842,990.38
  5. Step 5: Solve for x
    x = 2,099,842,990.38/52,730.16
  6. Step 6: Final answer
    x = 39,822.43

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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.