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Finding the Fourth Proportional to 64,147.68, 95,582.16 and 57,164.40

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Solution

The fourth proportional to 64,147.68, 95,582.16 and 57,164.40 is: 85,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,147.68 : 95,582.16 = 57,164.40 : x
  2. Step 2: Convert to fraction form
    64,147.68/95,582.16 = 57,164.40/x
  3. Step 3: Cross multiply
    64,147.68x = 95,582.16 × 57,164.40
  4. Step 4: Simplify right side
    64,147.68x = 5,463,896,827.10
  5. Step 5: Solve for x
    x = 5,463,896,827.10/64,147.68
  6. Step 6: Final answer
    x = 85,176.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.