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Finding the Fourth Proportional to 82,776.88, 114,232.80 and 46,966.96

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Solution

The fourth proportional to 82,776.88, 114,232.80 and 46,966.96 is: 64,814.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,776.88 : 114,232.80 = 46,966.96 : x
  2. Step 2: Convert to fraction form
    82,776.88/114,232.80 = 46,966.96/x
  3. Step 3: Cross multiply
    82,776.88x = 114,232.80 × 46,966.96
  4. Step 4: Simplify right side
    82,776.88x = 5,365,167,348.29
  5. Step 5: Solve for x
    x = 5,365,167,348.29/82,776.88
  6. Step 6: Final answer
    x = 64,814.81

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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.