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Finding the Fourth Proportional to 36,572.76, 54,859.38 and 10,278

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Solution

The fourth proportional to 36,572.76, 54,859.38 and 10,278 is: 15,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,572.76 : 54,859.38 = 10,278 : x
  2. Step 2: Convert to fraction form
    36,572.76/54,859.38 = 10,278/x
  3. Step 3: Cross multiply
    36,572.76x = 54,859.38 × 10,278
  4. Step 4: Simplify right side
    36,572.76x = 563,844,707.64
  5. Step 5: Solve for x
    x = 563,844,707.64/36,572.76
  6. Step 6: Final answer
    x = 15,417.07

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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.