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Finding the Fourth Proportional to 86,769, 119,741.94 and 47,025

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Solution

The fourth proportional to 86,769, 119,741.94 and 47,025 is: 64,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,769 : 119,741.94 = 47,025 : x
  2. Step 2: Convert to fraction form
    86,769/119,741.94 = 47,025/x
  3. Step 3: Cross multiply
    86,769x = 119,741.94 × 47,025
  4. Step 4: Simplify right side
    86,769x = 5,630,864,728.50
  5. Step 5: Solve for x
    x = 5,630,864,728.50/86,769
  6. Step 6: Final answer
    x = 64,894.89

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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.