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Finding the Fourth Proportional to 82,648.16, 114,054 and 46,844.94

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Solution

The fourth proportional to 82,648.16, 114,054 and 46,844.94 is: 64,645.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,648.16 : 114,054 = 46,844.94 : x
  2. Step 2: Convert to fraction form
    82,648.16/114,054 = 46,844.94/x
  3. Step 3: Cross multiply
    82,648.16x = 114,054 × 46,844.94
  4. Step 4: Simplify right side
    82,648.16x = 5,342,852,786.76
  5. Step 5: Solve for x
    x = 5,342,852,786.76/82,648.16
  6. Step 6: Final answer
    x = 64,645.76

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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.