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Finding the Fourth Proportional to 86,777, 119,752.34 and 47,033

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Solution

The fourth proportional to 86,777, 119,752.34 and 47,033 is: 64,905.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,777 : 119,752.34 = 47,033 : x
  2. Step 2: Convert to fraction form
    86,777/119,752.34 = 47,033/x
  3. Step 3: Cross multiply
    86,777x = 119,752.34 × 47,033
  4. Step 4: Simplify right side
    86,777x = 5,632,311,807.22
  5. Step 5: Solve for x
    x = 5,632,311,807.22/86,777
  6. Step 6: Final answer
    x = 64,905.58

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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.