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Finding the Fourth Proportional to 41,833, 57,729.95 and 22,970.53

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Solution

The fourth proportional to 41,833, 57,729.95 and 22,970.53 is: 31,699.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,833 : 57,729.95 = 22,970.53 : x
  2. Step 2: Convert to fraction form
    41,833/57,729.95 = 22,970.53/x
  3. Step 3: Cross multiply
    41,833x = 57,729.95 × 22,970.53
  4. Step 4: Simplify right side
    41,833x = 1,326,087,548.37
  5. Step 5: Solve for x
    x = 1,326,087,548.37/41,833
  6. Step 6: Final answer
    x = 31,699.56

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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.