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Finding the Fourth Proportional to 102,732.48, 141,770.52 and 56,796.84

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Solution

The fourth proportional to 102,732.48, 141,770.52 and 56,796.84 is: 78,379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,732.48 : 141,770.52 = 56,796.84 : x
  2. Step 2: Convert to fraction form
    102,732.48/141,770.52 = 56,796.84/x
  3. Step 3: Cross multiply
    102,732.48x = 141,770.52 × 56,796.84
  4. Step 4: Simplify right side
    102,732.48x = 8,052,117,541.16
  5. Step 5: Solve for x
    x = 8,052,117,541.16/102,732.48
  6. Step 6: Final answer
    x = 78,379.47

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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.