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Finding the Fourth Proportional to 118,710.24, 178,065.36 and 48,561

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Solution

The fourth proportional to 118,710.24, 178,065.36 and 48,561 is: 72,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,710.24 : 178,065.36 = 48,561 : x
  2. Step 2: Convert to fraction form
    118,710.24/178,065.36 = 48,561/x
  3. Step 3: Cross multiply
    118,710.24x = 178,065.36 × 48,561
  4. Step 4: Simplify right side
    118,710.24x = 8,647,031,946.96
  5. Step 5: Solve for x
    x = 8,647,031,946.96/118,710.24
  6. Step 6: Final answer
    x = 72,841.50

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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.