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Finding the Fourth Proportional to 58,658.58, 80,941.95 and 34,780.86

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Solution

The fourth proportional to 58,658.58, 80,941.95 and 34,780.86 is: 47,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,658.58 : 80,941.95 = 34,780.86 : x
  2. Step 2: Convert to fraction form
    58,658.58/80,941.95 = 34,780.86/x
  3. Step 3: Cross multiply
    58,658.58x = 80,941.95 × 34,780.86
  4. Step 4: Simplify right side
    58,658.58x = 2,815,230,631.08
  5. Step 5: Solve for x
    x = 2,815,230,631.08/58,658.58
  6. Step 6: Final answer
    x = 47,993.50

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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.