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Finding the Fourth Proportional to 37,130.18, 51,239.75 and 20,134.40

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Solution

The fourth proportional to 37,130.18, 51,239.75 and 20,134.40 is: 27,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,130.18 : 51,239.75 = 20,134.40 : x
  2. Step 2: Convert to fraction form
    37,130.18/51,239.75 = 20,134.40/x
  3. Step 3: Cross multiply
    37,130.18x = 51,239.75 × 20,134.40
  4. Step 4: Simplify right side
    37,130.18x = 1,031,681,265.53
  5. Step 5: Solve for x
    x = 1,031,681,265.53/37,130.18
  6. Step 6: Final answer
    x = 27,785.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.