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Finding the Fourth Proportional to 61,202.93, 91,730.58 and 31,604.63

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Solution

The fourth proportional to 61,202.93, 91,730.58 and 31,604.63 is: 47,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,202.93 : 91,730.58 = 31,604.63 : x
  2. Step 2: Convert to fraction form
    61,202.93/91,730.58 = 31,604.63/x
  3. Step 3: Cross multiply
    61,202.93x = 91,730.58 × 31,604.63
  4. Step 4: Simplify right side
    61,202.93x = 2,899,111,040.59
  5. Step 5: Solve for x
    x = 2,899,111,040.59/61,202.93
  6. Step 6: Final answer
    x = 47,368.83

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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.