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Finding the Fourth Proportional to 44,178, 60,965.76 and 24,306

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Solution

The fourth proportional to 44,178, 60,965.76 and 24,306 is: 33,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,178 : 60,965.76 = 24,306 : x
  2. Step 2: Convert to fraction form
    44,178/60,965.76 = 24,306/x
  3. Step 3: Cross multiply
    44,178x = 60,965.76 × 24,306
  4. Step 4: Simplify right side
    44,178x = 1,481,833,762.56
  5. Step 5: Solve for x
    x = 1,481,833,762.56/44,178
  6. Step 6: Final answer
    x = 33,542.35

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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.