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Finding the Fourth Proportional to 82,543.54, 123,741.86 and 35,770.90

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Solution

The fourth proportional to 82,543.54, 123,741.86 and 35,770.90 is: 53,624.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,543.54 : 123,741.86 = 35,770.90 : x
  2. Step 2: Convert to fraction form
    82,543.54/123,741.86 = 35,770.90/x
  3. Step 3: Cross multiply
    82,543.54x = 123,741.86 × 35,770.90
  4. Step 4: Simplify right side
    82,543.54x = 4,426,357,699.87
  5. Step 5: Solve for x
    x = 4,426,357,699.87/82,543.54
  6. Step 6: Final answer
    x = 53,624.52

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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.