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Finding the Fourth Proportional to 65,425.32, 90,284.76 and 38,567.34

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Solution

The fourth proportional to 65,425.32, 90,284.76 and 38,567.34 is: 53,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,425.32 : 90,284.76 = 38,567.34 : x
  2. Step 2: Convert to fraction form
    65,425.32/90,284.76 = 38,567.34/x
  3. Step 3: Cross multiply
    65,425.32x = 90,284.76 × 38,567.34
  4. Step 4: Simplify right side
    65,425.32x = 3,482,043,035.74
  5. Step 5: Solve for x
    x = 3,482,043,035.74/65,425.32
  6. Step 6: Final answer
    x = 53,221.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.