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Finding the Fourth Proportional to 86,383.86, 119,232 and 56,244.48

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Solution

The fourth proportional to 86,383.86, 119,232 and 56,244.48 is: 77,631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,383.86 : 119,232 = 56,244.48 : x
  2. Step 2: Convert to fraction form
    86,383.86/119,232 = 56,244.48/x
  3. Step 3: Cross multiply
    86,383.86x = 119,232 × 56,244.48
  4. Step 4: Simplify right side
    86,383.86x = 6,706,141,839.36
  5. Step 5: Solve for x
    x = 6,706,141,839.36/86,383.86
  6. Step 6: Final answer
    x = 77,631.88

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1.5x scale

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.