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Finding the Fourth Proportional to 82,838.42, 114,319.44 and 45,115.10

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Solution

The fourth proportional to 82,838.42, 114,319.44 and 45,115.10 is: 62,260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,838.42 : 114,319.44 = 45,115.10 : x
  2. Step 2: Convert to fraction form
    82,838.42/114,319.44 = 45,115.10/x
  3. Step 3: Cross multiply
    82,838.42x = 114,319.44 × 45,115.10
  4. Step 4: Simplify right side
    82,838.42x = 5,157,532,967.54
  5. Step 5: Solve for x
    x = 5,157,532,967.54/82,838.42
  6. Step 6: Final answer
    x = 62,260.16

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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.