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Finding the Fourth Proportional to 82,646.15, 114,051.24 and 46,842.93

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Solution

The fourth proportional to 82,646.15, 114,051.24 and 46,842.93 is: 64,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,646.15 : 114,051.24 = 46,842.93 : x
  2. Step 2: Convert to fraction form
    82,646.15/114,051.24 = 46,842.93/x
  3. Step 3: Cross multiply
    82,646.15x = 114,051.24 × 46,842.93
  4. Step 4: Simplify right side
    82,646.15x = 5,342,494,251.73
  5. Step 5: Solve for x
    x = 5,342,494,251.73/82,646.15
  6. Step 6: Final answer
    x = 64,642.99

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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.