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Finding the Fourth Proportional to 82,826.10, 114,301.32 and 45,100.32

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Solution

The fourth proportional to 82,826.10, 114,301.32 and 45,100.32 is: 62,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,826.10 : 114,301.32 = 45,100.32 : x
  2. Step 2: Convert to fraction form
    82,826.10/114,301.32 = 45,100.32/x
  3. Step 3: Cross multiply
    82,826.10x = 114,301.32 × 45,100.32
  4. Step 4: Simplify right side
    82,826.10x = 5,155,026,108.42
  5. Step 5: Solve for x
    x = 5,155,026,108.42/82,826.10
  6. Step 6: Final answer
    x = 62,239.15

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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.