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Finding the Fourth Proportional to 64,814.09, 96,978.74 and 46,137.11

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Solution

The fourth proportional to 64,814.09, 96,978.74 and 46,137.11 is: 69,033.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,814.09 : 96,978.74 = 46,137.11 : x
  2. Step 2: Convert to fraction form
    64,814.09/96,978.74 = 46,137.11/x
  3. Step 3: Cross multiply
    64,814.09x = 96,978.74 × 46,137.11
  4. Step 4: Simplify right side
    64,814.09x = 4,474,318,079.46
  5. Step 5: Solve for x
    x = 4,474,318,079.46/64,814.09
  6. Step 6: Final answer
    x = 69,033.11

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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.