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Finding the Fourth Proportional to 82,759.95, 114,220.37 and 48,315.98

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Solution

The fourth proportional to 82,759.95, 114,220.37 and 48,315.98 is: 66,682.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,759.95 : 114,220.37 = 48,315.98 : x
  2. Step 2: Convert to fraction form
    82,759.95/114,220.37 = 48,315.98/x
  3. Step 3: Cross multiply
    82,759.95x = 114,220.37 × 48,315.98
  4. Step 4: Simplify right side
    82,759.95x = 5,518,669,112.51
  5. Step 5: Solve for x
    x = 5,518,669,112.51/82,759.95
  6. Step 6: Final answer
    x = 66,682.85

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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.