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Finding the Fourth Proportional to 65,142.47, 89,889.06 and 36,463.74

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Solution

The fourth proportional to 65,142.47, 89,889.06 and 36,463.74 is: 50,315.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,142.47 : 89,889.06 = 36,463.74 : x
  2. Step 2: Convert to fraction form
    65,142.47/89,889.06 = 36,463.74/x
  3. Step 3: Cross multiply
    65,142.47x = 89,889.06 × 36,463.74
  4. Step 4: Simplify right side
    65,142.47x = 3,277,691,363.37
  5. Step 5: Solve for x
    x = 3,277,691,363.37/65,142.47
  6. Step 6: Final answer
    x = 50,315.73

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1.5x scale

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.