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Finding the Fourth Proportional to 53,940.86, 74,438.74 and 30,069.06

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Solution

The fourth proportional to 53,940.86, 74,438.74 and 30,069.06 is: 41,495.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,940.86 : 74,438.74 = 30,069.06 : x
  2. Step 2: Convert to fraction form
    53,940.86/74,438.74 = 30,069.06/x
  3. Step 3: Cross multiply
    53,940.86x = 74,438.74 × 30,069.06
  4. Step 4: Simplify right side
    53,940.86x = 2,238,302,939.38
  5. Step 5: Solve for x
    x = 2,238,302,939.38/53,940.86
  6. Step 6: Final answer
    x = 41,495.50

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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.