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Finding the Fourth Proportional to 61,465.95, 92,182.05 and 38,942.82

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Solution

The fourth proportional to 61,465.95, 92,182.05 and 38,942.82 is: 58,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,465.95 : 92,182.05 = 38,942.82 : x
  2. Step 2: Convert to fraction form
    61,465.95/92,182.05 = 38,942.82/x
  3. Step 3: Cross multiply
    61,465.95x = 92,182.05 × 38,942.82
  4. Step 4: Simplify right side
    61,465.95x = 3,589,828,980.38
  5. Step 5: Solve for x
    x = 3,589,828,980.38/61,465.95
  6. Step 6: Final answer
    x = 58,403.54

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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.