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Finding the Fourth Proportional to 82,765.69, 114,208.75 and 46,458.82

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Solution

The fourth proportional to 82,765.69, 114,208.75 and 46,458.82 is: 64,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,765.69 : 114,208.75 = 46,458.82 : x
  2. Step 2: Convert to fraction form
    82,765.69/114,208.75 = 46,458.82/x
  3. Step 3: Cross multiply
    82,765.69x = 114,208.75 × 46,458.82
  4. Step 4: Simplify right side
    82,765.69x = 5,306,003,959.51
  5. Step 5: Solve for x
    x = 5,306,003,959.51/82,765.69
  6. Step 6: Final answer
    x = 64,108.74

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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.