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Finding the Fourth Proportional to 105,794.48, 145,996.38 and 60,473.44

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Solution

The fourth proportional to 105,794.48, 145,996.38 and 60,473.44 is: 83,453.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,794.48 : 145,996.38 = 60,473.44 : x
  2. Step 2: Convert to fraction form
    105,794.48/145,996.38 = 60,473.44/x
  3. Step 3: Cross multiply
    105,794.48x = 145,996.38 × 60,473.44
  4. Step 4: Simplify right side
    105,794.48x = 8,828,903,653.82
  5. Step 5: Solve for x
    x = 8,828,903,653.82/105,794.48
  6. Step 6: Final answer
    x = 83,453.35

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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.