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Finding the Fourth Proportional to 83,039.54, 114,597.34 and 45,315.86

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Solution

The fourth proportional to 83,039.54, 114,597.34 and 45,315.86 is: 62,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,039.54 : 114,597.34 = 45,315.86 : x
  2. Step 2: Convert to fraction form
    83,039.54/114,597.34 = 45,315.86/x
  3. Step 3: Cross multiply
    83,039.54x = 114,597.34 × 45,315.86
  4. Step 4: Simplify right side
    83,039.54x = 5,193,077,015.81
  5. Step 5: Solve for x
    x = 5,193,077,015.81/83,039.54
  6. Step 6: Final answer
    x = 62,537.40

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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.