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Finding the Fourth Proportional to 86,768, 119,740.56 and 47,024

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Solution

The fourth proportional to 86,768, 119,740.56 and 47,024 is: 64,893.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,768 : 119,740.56 = 47,024 : x
  2. Step 2: Convert to fraction form
    86,768/119,740.56 = 47,024/x
  3. Step 3: Cross multiply
    86,768x = 119,740.56 × 47,024
  4. Step 4: Simplify right side
    86,768x = 5,630,680,093.44
  5. Step 5: Solve for x
    x = 5,630,680,093.44/86,768
  6. Step 6: Final answer
    x = 64,893.51

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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.