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Finding the Fourth Proportional to 65,886.64, 90,923.60 and 35,672.16

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Solution

The fourth proportional to 65,886.64, 90,923.60 and 35,672.16 is: 49,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,886.64 : 90,923.60 = 35,672.16 : x
  2. Step 2: Convert to fraction form
    65,886.64/90,923.60 = 35,672.16/x
  3. Step 3: Cross multiply
    65,886.64x = 90,923.60 × 35,672.16
  4. Step 4: Simplify right side
    65,886.64x = 3,243,441,206.98
  5. Step 5: Solve for x
    x = 3,243,441,206.98/65,886.64
  6. Step 6: Final answer
    x = 49,227.60

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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.