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Finding the Fourth Proportional to 195,790.50, 293,686.02 and 48,046.50

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Solution

The fourth proportional to 195,790.50, 293,686.02 and 48,046.50 is: 72,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,790.50 : 293,686.02 = 48,046.50 : x
  2. Step 2: Convert to fraction form
    195,790.50/293,686.02 = 48,046.50/x
  3. Step 3: Cross multiply
    195,790.50x = 293,686.02 × 48,046.50
  4. Step 4: Simplify right side
    195,790.50x = 14,110,585,359.93
  5. Step 5: Solve for x
    x = 14,110,585,359.93/195,790.50
  6. Step 6: Final answer
    x = 72,069.82

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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.