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Finding the Fourth Proportional to 75,468.78, 104,085.09 and 46,768.50

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Solution

The fourth proportional to 75,468.78, 104,085.09 and 46,768.50 is: 64,502.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,468.78 : 104,085.09 = 46,768.50 : x
  2. Step 2: Convert to fraction form
    75,468.78/104,085.09 = 46,768.50/x
  3. Step 3: Cross multiply
    75,468.78x = 104,085.09 × 46,768.50
  4. Step 4: Simplify right side
    75,468.78x = 4,867,903,531.67
  5. Step 5: Solve for x
    x = 4,867,903,531.67/75,468.78
  6. Step 6: Final answer
    x = 64,502.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.