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Finding the Fourth Proportional to 64,949.94, 97,459.11 and 46,096.38

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Solution

The fourth proportional to 64,949.94, 97,459.11 and 46,096.38 is: 69,168.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,949.94 : 97,459.11 = 46,096.38 : x
  2. Step 2: Convert to fraction form
    64,949.94/97,459.11 = 46,096.38/x
  3. Step 3: Cross multiply
    64,949.94x = 97,459.11 × 46,096.38
  4. Step 4: Simplify right side
    64,949.94x = 4,492,512,169.02
  5. Step 5: Solve for x
    x = 4,492,512,169.02/64,949.94
  6. Step 6: Final answer
    x = 69,168.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.