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Finding the Fourth Proportional to 76,099, 105,017 and 42,565

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Solution

The fourth proportional to 76,099, 105,017 and 42,565 is: 58,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,099 : 105,017 = 42,565 : x
  2. Step 2: Convert to fraction form
    76,099/105,017 = 42,565/x
  3. Step 3: Cross multiply
    76,099x = 105,017 × 42,565
  4. Step 4: Simplify right side
    76,099x = 4,470,048,605
  5. Step 5: Solve for x
    x = 4,470,048,605/76,099
  6. Step 6: Final answer
    x = 58,739.91

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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.