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Finding the Fourth Proportional to 29,089.64, 40,142.66 and 17,778.06

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Solution

The fourth proportional to 29,089.64, 40,142.66 and 17,778.06 is: 24,533.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,089.64 : 40,142.66 = 17,778.06 : x
  2. Step 2: Convert to fraction form
    29,089.64/40,142.66 = 17,778.06/x
  3. Step 3: Cross multiply
    29,089.64x = 40,142.66 × 17,778.06
  4. Step 4: Simplify right side
    29,089.64x = 713,658,529.15
  5. Step 5: Solve for x
    x = 713,658,529.15/29,089.64
  6. Step 6: Final answer
    x = 24,533.08

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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.