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Finding the Fourth Proportional to 37,264.16, 55,896.36 and 23,384

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Solution

The fourth proportional to 37,264.16, 55,896.36 and 23,384 is: 35,076.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,264.16 : 55,896.36 = 23,384 : x
  2. Step 2: Convert to fraction form
    37,264.16/55,896.36 = 23,384/x
  3. Step 3: Cross multiply
    37,264.16x = 55,896.36 × 23,384
  4. Step 4: Simplify right side
    37,264.16x = 1,307,080,482.24
  5. Step 5: Solve for x
    x = 1,307,080,482.24/37,264.16
  6. Step 6: Final answer
    x = 35,076.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.