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Finding the Fourth Proportional to 86,024, 118,713.12 and 48,298.25

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Solution

The fourth proportional to 86,024, 118,713.12 and 48,298.25 is: 66,651.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,024 : 118,713.12 = 48,298.25 : x
  2. Step 2: Convert to fraction form
    86,024/118,713.12 = 48,298.25/x
  3. Step 3: Cross multiply
    86,024x = 118,713.12 × 48,298.25
  4. Step 4: Simplify right side
    86,024x = 5,733,635,948.04
  5. Step 5: Solve for x
    x = 5,733,635,948.04/86,024
  6. Step 6: Final answer
    x = 66,651.59

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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.