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Finding the Fourth Proportional to 58,023.60, 87,039.83 and 24,743.80

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Solution

The fourth proportional to 58,023.60, 87,039.83 and 24,743.80 is: 37,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,023.60 : 87,039.83 = 24,743.80 : x
  2. Step 2: Convert to fraction form
    58,023.60/87,039.83 = 24,743.80/x
  3. Step 3: Cross multiply
    58,023.60x = 87,039.83 × 24,743.80
  4. Step 4: Simplify right side
    58,023.60x = 2,153,696,145.55
  5. Step 5: Solve for x
    x = 2,153,696,145.55/58,023.60
  6. Step 6: Final answer
    x = 37,117.59

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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.