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Finding the Fourth Proportional to 65,356.32, 90,176 and 38,496.72

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Solution

The fourth proportional to 65,356.32, 90,176 and 38,496.72 is: 53,116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,356.32 : 90,176 = 38,496.72 : x
  2. Step 2: Convert to fraction form
    65,356.32/90,176 = 38,496.72/x
  3. Step 3: Cross multiply
    65,356.32x = 90,176 × 38,496.72
  4. Step 4: Simplify right side
    65,356.32x = 3,471,480,222.72
  5. Step 5: Solve for x
    x = 3,471,480,222.72/65,356.32
  6. Step 6: Final answer
    x = 53,116.21

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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.