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Finding the Fourth Proportional to 82,425.81, 113,746.86 and 46,622.82

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Solution

The fourth proportional to 82,425.81, 113,746.86 and 46,622.82 is: 64,339.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,425.81 : 113,746.86 = 46,622.82 : x
  2. Step 2: Convert to fraction form
    82,425.81/113,746.86 = 46,622.82/x
  3. Step 3: Cross multiply
    82,425.81x = 113,746.86 × 46,622.82
  4. Step 4: Simplify right side
    82,425.81x = 5,303,199,379.35
  5. Step 5: Solve for x
    x = 5,303,199,379.35/82,425.81
  6. Step 6: Final answer
    x = 64,339.06

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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.