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Finding the Fourth Proportional to 83,313, 114,971.94 and 45,587.25

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Solution

The fourth proportional to 83,313, 114,971.94 and 45,587.25 is: 62,910.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,313 : 114,971.94 = 45,587.25 : x
  2. Step 2: Convert to fraction form
    83,313/114,971.94 = 45,587.25/x
  3. Step 3: Cross multiply
    83,313x = 114,971.94 × 45,587.25
  4. Step 4: Simplify right side
    83,313x = 5,241,254,571.77
  5. Step 5: Solve for x
    x = 5,241,254,571.77/83,313
  6. Step 6: Final answer
    x = 62,910.41

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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.