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Finding the Fourth Proportional to 77,658.35, 116,464.95 and 30,262.86

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Solution

The fourth proportional to 77,658.35, 116,464.95 and 30,262.86 is: 45,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,658.35 : 116,464.95 = 30,262.86 : x
  2. Step 2: Convert to fraction form
    77,658.35/116,464.95 = 30,262.86/x
  3. Step 3: Cross multiply
    77,658.35x = 116,464.95 × 30,262.86
  4. Step 4: Simplify right side
    77,658.35x = 3,524,562,476.76
  5. Step 5: Solve for x
    x = 3,524,562,476.76/77,658.35
  6. Step 6: Final answer
    x = 45,385.50

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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.