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Finding the Fourth Proportional to 58,199.46, 87,293.52 and 18,784.86

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Solution

The fourth proportional to 58,199.46, 87,293.52 and 18,784.86 is: 28,175.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,199.46 : 87,293.52 = 18,784.86 : x
  2. Step 2: Convert to fraction form
    58,199.46/87,293.52 = 18,784.86/x
  3. Step 3: Cross multiply
    58,199.46x = 87,293.52 × 18,784.86
  4. Step 4: Simplify right side
    58,199.46x = 1,639,796,552.11
  5. Step 5: Solve for x
    x = 1,639,796,552.11/58,199.46
  6. Step 6: Final answer
    x = 28,175.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.