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Finding the Fourth Proportional to 35,548.44, 49,056 and 19,415.16

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Solution

The fourth proportional to 35,548.44, 49,056 and 19,415.16 is: 26,792.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,548.44 : 49,056 = 19,415.16 : x
  2. Step 2: Convert to fraction form
    35,548.44/49,056 = 19,415.16/x
  3. Step 3: Cross multiply
    35,548.44x = 49,056 × 19,415.16
  4. Step 4: Simplify right side
    35,548.44x = 952,430,088.96
  5. Step 5: Solve for x
    x = 952,430,088.96/35,548.44
  6. Step 6: Final answer
    x = 26,792.46

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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.