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Finding the Fourth Proportional to 76,181, 105,129.78 and 42,647.72

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Solution

The fourth proportional to 76,181, 105,129.78 and 42,647.72 is: 58,853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,181 : 105,129.78 = 42,647.72 : x
  2. Step 2: Convert to fraction form
    76,181/105,129.78 = 42,647.72/x
  3. Step 3: Cross multiply
    76,181x = 105,129.78 × 42,647.72
  4. Step 4: Simplify right side
    76,181x = 4,483,545,421.10
  5. Step 5: Solve for x
    x = 4,483,545,421.10/76,181
  6. Step 6: Final answer
    x = 58,853.85

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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.