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Finding the Fourth Proportional to 77,735.70, 116,605.44 and 58,138.70

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Solution

The fourth proportional to 77,735.70, 116,605.44 and 58,138.70 is: 87,209.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,735.70 : 116,605.44 = 58,138.70 : x
  2. Step 2: Convert to fraction form
    77,735.70/116,605.44 = 58,138.70/x
  3. Step 3: Cross multiply
    77,735.70x = 116,605.44 × 58,138.70
  4. Step 4: Simplify right side
    77,735.70x = 6,779,288,111.50
  5. Step 5: Solve for x
    x = 6,779,288,111.50/77,735.70
  6. Step 6: Final answer
    x = 87,209.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.