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Finding the Fourth Proportional to 58,535.60, 80,779.12 and 31,678.11

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Solution

The fourth proportional to 58,535.60, 80,779.12 and 31,678.11 is: 43,715.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,535.60 : 80,779.12 = 31,678.11 : x
  2. Step 2: Convert to fraction form
    58,535.60/80,779.12 = 31,678.11/x
  3. Step 3: Cross multiply
    58,535.60x = 80,779.12 × 31,678.11
  4. Step 4: Simplify right side
    58,535.60x = 2,558,929,849.06
  5. Step 5: Solve for x
    x = 2,558,929,849.06/58,535.60
  6. Step 6: Final answer
    x = 43,715.79

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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.