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Finding the Fourth Proportional to 53,949.71, 74,457.31 and 30,986.72

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Solution

The fourth proportional to 53,949.71, 74,457.31 and 30,986.72 is: 42,765.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,949.71 : 74,457.31 = 30,986.72 : x
  2. Step 2: Convert to fraction form
    53,949.71/74,457.31 = 30,986.72/x
  3. Step 3: Cross multiply
    53,949.71x = 74,457.31 × 30,986.72
  4. Step 4: Simplify right side
    53,949.71x = 2,307,187,646.38
  5. Step 5: Solve for x
    x = 2,307,187,646.38/53,949.71
  6. Step 6: Final answer
    x = 42,765.53

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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.