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Finding the Fourth Proportional to 81,898.50, 122,729.49 and 46,848.18

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Solution

The fourth proportional to 81,898.50, 122,729.49 and 46,848.18 is: 70,204.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,898.50 : 122,729.49 = 46,848.18 : x
  2. Step 2: Convert to fraction form
    81,898.50/122,729.49 = 46,848.18/x
  3. Step 3: Cross multiply
    81,898.50x = 122,729.49 × 46,848.18
  4. Step 4: Simplify right side
    81,898.50x = 5,749,653,238.83
  5. Step 5: Solve for x
    x = 5,749,653,238.83/81,898.50
  6. Step 6: Final answer
    x = 70,204.62

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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.