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Finding the Fourth Proportional to 75,678.48, 104,486.63 and 47,040.93

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Solution

The fourth proportional to 75,678.48, 104,486.63 and 47,040.93 is: 64,947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,678.48 : 104,486.63 = 47,040.93 : x
  2. Step 2: Convert to fraction form
    75,678.48/104,486.63 = 47,040.93/x
  3. Step 3: Cross multiply
    75,678.48x = 104,486.63 × 47,040.93
  4. Step 4: Simplify right side
    75,678.48x = 4,915,148,012.56
  5. Step 5: Solve for x
    x = 4,915,148,012.56/75,678.48
  6. Step 6: Final answer
    x = 64,947.76

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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.