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Finding the Fourth Proportional to 37,774.36, 52,130.46 and 21,007

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Solution

The fourth proportional to 37,774.36, 52,130.46 and 21,007 is: 28,990.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,774.36 : 52,130.46 = 21,007 : x
  2. Step 2: Convert to fraction form
    37,774.36/52,130.46 = 21,007/x
  3. Step 3: Cross multiply
    37,774.36x = 52,130.46 × 21,007
  4. Step 4: Simplify right side
    37,774.36x = 1,095,104,573.22
  5. Step 5: Solve for x
    x = 1,095,104,573.22/37,774.36
  6. Step 6: Final answer
    x = 28,990.69

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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.