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Finding the Fourth Proportional to 82,702.98, 114,130.89 and 49,162.50

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Solution

The fourth proportional to 82,702.98, 114,130.89 and 49,162.50 is: 67,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,702.98 : 114,130.89 = 49,162.50 : x
  2. Step 2: Convert to fraction form
    82,702.98/114,130.89 = 49,162.50/x
  3. Step 3: Cross multiply
    82,702.98x = 114,130.89 × 49,162.50
  4. Step 4: Simplify right side
    82,702.98x = 5,610,959,879.63
  5. Step 5: Solve for x
    x = 5,610,959,879.63/82,702.98
  6. Step 6: Final answer
    x = 67,844.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.