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Finding the Fourth Proportional to 30,866.95, 42,557.68 and 25,195.94

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Solution

The fourth proportional to 30,866.95, 42,557.68 and 25,195.94 is: 34,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.95 : 42,557.68 = 25,195.94 : x
  2. Step 2: Convert to fraction form
    30,866.95/42,557.68 = 25,195.94/x
  3. Step 3: Cross multiply
    30,866.95x = 42,557.68 × 25,195.94
  4. Step 4: Simplify right side
    30,866.95x = 1,072,280,751.82
  5. Step 5: Solve for x
    x = 1,072,280,751.82/30,866.95
  6. Step 6: Final answer
    x = 34,738.80

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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.