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Finding the Fourth Proportional to 57,820.63, 79,805.81 and 37,642.38

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Solution

The fourth proportional to 57,820.63, 79,805.81 and 37,642.38 is: 51,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,820.63 : 79,805.81 = 37,642.38 : x
  2. Step 2: Convert to fraction form
    57,820.63/79,805.81 = 37,642.38/x
  3. Step 3: Cross multiply
    57,820.63x = 79,805.81 × 37,642.38
  4. Step 4: Simplify right side
    57,820.63x = 3,004,080,038.99
  5. Step 5: Solve for x
    x = 3,004,080,038.99/57,820.63
  6. Step 6: Final answer
    x = 51,955.16

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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.