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Finding the Fourth Proportional to 86,724, 130,085.96 and 24,394.48

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Solution

The fourth proportional to 86,724, 130,085.96 and 24,394.48 is: 36,591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,724 : 130,085.96 = 24,394.48 : x
  2. Step 2: Convert to fraction form
    86,724/130,085.96 = 24,394.48/x
  3. Step 3: Cross multiply
    86,724x = 130,085.96 × 24,394.48
  4. Step 4: Simplify right side
    86,724x = 3,173,379,349.50
  5. Step 5: Solve for x
    x = 3,173,379,349.50/86,724
  6. Step 6: Final answer
    x = 36,591.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.