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Finding the Fourth Proportional to 53,700.82, 74,146.53 and 49,719.94

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Solution

The fourth proportional to 53,700.82, 74,146.53 and 49,719.94 is: 68,649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,700.82 : 74,146.53 = 49,719.94 : x
  2. Step 2: Convert to fraction form
    53,700.82/74,146.53 = 49,719.94/x
  3. Step 3: Cross multiply
    53,700.82x = 74,146.53 × 49,719.94
  4. Step 4: Simplify right side
    53,700.82x = 3,686,561,022.81
  5. Step 5: Solve for x
    x = 3,686,561,022.81/53,700.82
  6. Step 6: Final answer
    x = 68,649.99

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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.