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Finding the Fourth Proportional to 82,699.38, 114,189.48 and 63,548.82

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Solution

The fourth proportional to 82,699.38, 114,189.48 and 63,548.82 is: 87,746.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,699.38 : 114,189.48 = 63,548.82 : x
  2. Step 2: Convert to fraction form
    82,699.38/114,189.48 = 63,548.82/x
  3. Step 3: Cross multiply
    82,699.38x = 114,189.48 × 63,548.82
  4. Step 4: Simplify right side
    82,699.38x = 7,256,606,710.41
  5. Step 5: Solve for x
    x = 7,256,606,710.41/82,699.38
  6. Step 6: Final answer
    x = 87,746.81

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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.