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Finding the Fourth Proportional to 37,007.36, 51,070.56 and 20,240

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Solution

The fourth proportional to 37,007.36, 51,070.56 and 20,240 is: 27,931.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,007.36 : 51,070.56 = 20,240 : x
  2. Step 2: Convert to fraction form
    37,007.36/51,070.56 = 20,240/x
  3. Step 3: Cross multiply
    37,007.36x = 51,070.56 × 20,240
  4. Step 4: Simplify right side
    37,007.36x = 1,033,668,134.40
  5. Step 5: Solve for x
    x = 1,033,668,134.40/37,007.36
  6. Step 6: Final answer
    x = 27,931.42

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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.