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Finding the Fourth Proportional to 38,288.84, 52,849 and 24,859.36

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Solution

The fourth proportional to 38,288.84, 52,849 and 24,859.36 is: 34,312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,288.84 : 52,849 = 24,859.36 : x
  2. Step 2: Convert to fraction form
    38,288.84/52,849 = 24,859.36/x
  3. Step 3: Cross multiply
    38,288.84x = 52,849 × 24,859.36
  4. Step 4: Simplify right side
    38,288.84x = 1,313,792,316.64
  5. Step 5: Solve for x
    x = 1,313,792,316.64/38,288.84
  6. Step 6: Final answer
    x = 34,312.67

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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.