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Finding the Fourth Proportional to 64,077.84, 96,072.54 and 34,465.86

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Solution

The fourth proportional to 64,077.84, 96,072.54 and 34,465.86 is: 51,675.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,077.84 : 96,072.54 = 34,465.86 : x
  2. Step 2: Convert to fraction form
    64,077.84/96,072.54 = 34,465.86/x
  3. Step 3: Cross multiply
    64,077.84x = 96,072.54 × 34,465.86
  4. Step 4: Simplify right side
    64,077.84x = 3,311,222,713.48
  5. Step 5: Solve for x
    x = 3,311,222,713.48/64,077.84
  6. Step 6: Final answer
    x = 51,675.01

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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.