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Finding the Fourth Proportional to 82,643.15, 114,047.10 and 46,839.93

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Solution

The fourth proportional to 82,643.15, 114,047.10 and 46,839.93 is: 64,638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,643.15 : 114,047.10 = 46,839.93 : x
  2. Step 2: Convert to fraction form
    82,643.15/114,047.10 = 46,839.93/x
  3. Step 3: Cross multiply
    82,643.15x = 114,047.10 × 46,839.93
  4. Step 4: Simplify right side
    82,643.15x = 5,341,958,180.70
  5. Step 5: Solve for x
    x = 5,341,958,180.70/82,643.15
  6. Step 6: Final answer
    x = 64,638.85

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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.