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Finding the Fourth Proportional to 82,663.53, 114,088.14 and 50,416.86

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Solution

The fourth proportional to 82,663.53, 114,088.14 and 50,416.86 is: 69,582.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,663.53 : 114,088.14 = 50,416.86 : x
  2. Step 2: Convert to fraction form
    82,663.53/114,088.14 = 50,416.86/x
  3. Step 3: Cross multiply
    82,663.53x = 114,088.14 × 50,416.86
  4. Step 4: Simplify right side
    82,663.53x = 5,751,965,782.04
  5. Step 5: Solve for x
    x = 5,751,965,782.04/82,663.53
  6. Step 6: Final answer
    x = 69,582.87

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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.