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Finding the Fourth Proportional to 58,535.78, 80,779.38 and 31,678.30

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Solution

The fourth proportional to 58,535.78, 80,779.38 and 31,678.30 is: 43,716.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,535.78 : 80,779.38 = 31,678.30 : x
  2. Step 2: Convert to fraction form
    58,535.78/80,779.38 = 31,678.30/x
  3. Step 3: Cross multiply
    58,535.78x = 80,779.38 × 31,678.30
  4. Step 4: Simplify right side
    58,535.78x = 2,558,953,433.45
  5. Step 5: Solve for x
    x = 2,558,953,433.45/58,535.78
  6. Step 6: Final answer
    x = 43,716.06

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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.