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Finding the Fourth Proportional to 35,009.82, 52,223.40 and 31,646.70

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Solution

The fourth proportional to 35,009.82, 52,223.40 and 31,646.70 is: 47,206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,009.82 : 52,223.40 = 31,646.70 : x
  2. Step 2: Convert to fraction form
    35,009.82/52,223.40 = 31,646.70/x
  3. Step 3: Cross multiply
    35,009.82x = 52,223.40 × 31,646.70
  4. Step 4: Simplify right side
    35,009.82x = 1,652,698,272.78
  5. Step 5: Solve for x
    x = 1,652,698,272.78/35,009.82
  6. Step 6: Final answer
    x = 47,206.71

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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.