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Finding the Fourth Proportional to 35,210.46, 52,542.69 and 31,471.50

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Solution

The fourth proportional to 35,210.46, 52,542.69 and 31,471.50 is: 46,963.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,210.46 : 52,542.69 = 31,471.50 : x
  2. Step 2: Convert to fraction form
    35,210.46/52,542.69 = 31,471.50/x
  3. Step 3: Cross multiply
    35,210.46x = 52,542.69 × 31,471.50
  4. Step 4: Simplify right side
    35,210.46x = 1,653,597,268.34
  5. Step 5: Solve for x
    x = 1,653,597,268.34/35,210.46
  6. Step 6: Final answer
    x = 46,963.24

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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.