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Finding the Fourth Proportional to 82,798.66, 114,277.89 and 46,992.02

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Solution

The fourth proportional to 82,798.66, 114,277.89 and 46,992.02 is: 64,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,798.66 : 114,277.89 = 46,992.02 : x
  2. Step 2: Convert to fraction form
    82,798.66/114,277.89 = 46,992.02/x
  3. Step 3: Cross multiply
    82,798.66x = 114,277.89 × 46,992.02
  4. Step 4: Simplify right side
    82,798.66x = 5,370,149,354.35
  5. Step 5: Solve for x
    x = 5,370,149,354.35/82,798.66
  6. Step 6: Final answer
    x = 64,857.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.