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Finding the Fourth Proportional to 82,826.32, 114,300.76 and 45,101.52

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Solution

The fourth proportional to 82,826.32, 114,300.76 and 45,101.52 is: 62,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,826.32 : 114,300.76 = 45,101.52 : x
  2. Step 2: Convert to fraction form
    82,826.32/114,300.76 = 45,101.52/x
  3. Step 3: Cross multiply
    82,826.32x = 114,300.76 × 45,101.52
  4. Step 4: Simplify right side
    82,826.32x = 5,155,138,013.16
  5. Step 5: Solve for x
    x = 5,155,138,013.16/82,826.32
  6. Step 6: Final answer
    x = 62,240.34

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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.