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Finding the Fourth Proportional to 82,675.80, 114,101.46 and 46,861.92

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Solution

The fourth proportional to 82,675.80, 114,101.46 and 46,861.92 is: 64,674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,675.80 : 114,101.46 = 46,861.92 : x
  2. Step 2: Convert to fraction form
    82,675.80/114,101.46 = 46,861.92/x
  3. Step 3: Cross multiply
    82,675.80x = 114,101.46 × 46,861.92
  4. Step 4: Simplify right side
    82,675.80x = 5,347,013,490.40
  5. Step 5: Solve for x
    x = 5,347,013,490.40/82,675.80
  6. Step 6: Final answer
    x = 64,674.47

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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.