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Finding the Fourth Proportional to 45,713.36, 63,070.44 and 29,792

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Solution

The fourth proportional to 45,713.36, 63,070.44 and 29,792 is: 41,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,713.36 : 63,070.44 = 29,792 : x
  2. Step 2: Convert to fraction form
    45,713.36/63,070.44 = 29,792/x
  3. Step 3: Cross multiply
    45,713.36x = 63,070.44 × 29,792
  4. Step 4: Simplify right side
    45,713.36x = 1,878,994,548.48
  5. Step 5: Solve for x
    x = 1,878,994,548.48/45,713.36
  6. Step 6: Final answer
    x = 41,103.84

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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.