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Finding the Fourth Proportional to 64,904, 89,567.53 and 35,096

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Solution

The fourth proportional to 64,904, 89,567.53 and 35,096 is: 48,432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,904 : 89,567.53 = 35,096 : x
  2. Step 2: Convert to fraction form
    64,904/89,567.53 = 35,096/x
  3. Step 3: Cross multiply
    64,904x = 89,567.53 × 35,096
  4. Step 4: Simplify right side
    64,904x = 3,143,461,857.40
  5. Step 5: Solve for x
    x = 3,143,461,857.40/64,904
  6. Step 6: Final answer
    x = 48,432.48

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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.