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Finding the Fourth Proportional to 37,030.94, 51,102.49 and 20,035.14

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Solution

The fourth proportional to 37,030.94, 51,102.49 and 20,035.14 is: 27,648.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,030.94 : 51,102.49 = 20,035.14 : x
  2. Step 2: Convert to fraction form
    37,030.94/51,102.49 = 20,035.14/x
  3. Step 3: Cross multiply
    37,030.94x = 51,102.49 × 20,035.14
  4. Step 4: Simplify right side
    37,030.94x = 1,023,845,541.50
  5. Step 5: Solve for x
    x = 1,023,845,541.50/37,030.94
  6. Step 6: Final answer
    x = 27,648.38

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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.