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Finding the Fourth Proportional to 83,009, 114,552.42 and 45,283.40

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Solution

The fourth proportional to 83,009, 114,552.42 and 45,283.40 is: 62,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,009 : 114,552.42 = 45,283.40 : x
  2. Step 2: Convert to fraction form
    83,009/114,552.42 = 45,283.40/x
  3. Step 3: Cross multiply
    83,009x = 114,552.42 × 45,283.40
  4. Step 4: Simplify right side
    83,009x = 5,187,323,055.83
  5. Step 5: Solve for x
    x = 5,187,323,055.83/83,009
  6. Step 6: Final answer
    x = 62,491.09

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