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Finding the Fourth Proportional to 82,675.86, 124,068.93 and 53,114.91

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Solution

The fourth proportional to 82,675.86, 124,068.93 and 53,114.91 is: 79,707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,675.86 : 124,068.93 = 53,114.91 : x
  2. Step 2: Convert to fraction form
    82,675.86/124,068.93 = 53,114.91/x
  3. Step 3: Cross multiply
    82,675.86x = 124,068.93 × 53,114.91
  4. Step 4: Simplify right side
    82,675.86x = 6,589,910,050.75
  5. Step 5: Solve for x
    x = 6,589,910,050.75/82,675.86
  6. Step 6: Final answer
    x = 79,707.79

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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.