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Finding the Fourth Proportional to 35,420.36, 52,853.05 and 31,697.00

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Solution

The fourth proportional to 35,420.36, 52,853.05 and 31,697.00 is: 47,297.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,420.36 : 52,853.05 = 31,697.00 : x
  2. Step 2: Convert to fraction form
    35,420.36/52,853.05 = 31,697.00/x
  3. Step 3: Cross multiply
    35,420.36x = 52,853.05 × 31,697.00
  4. Step 4: Simplify right side
    35,420.36x = 1,675,282,928.47
  5. Step 5: Solve for x
    x = 1,675,282,928.47/35,420.36
  6. Step 6: Final answer
    x = 47,297.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.