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Finding the Fourth Proportional to 35,411.31, 53,069.76 and 13,202.28

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Solution

The fourth proportional to 35,411.31, 53,069.76 and 13,202.28 is: 19,785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,411.31 : 53,069.76 = 13,202.28 : x
  2. Step 2: Convert to fraction form
    35,411.31/53,069.76 = 13,202.28/x
  3. Step 3: Cross multiply
    35,411.31x = 53,069.76 × 13,202.28
  4. Step 4: Simplify right side
    35,411.31x = 700,641,831.05
  5. Step 5: Solve for x
    x = 700,641,831.05/35,411.31
  6. Step 6: Final answer
    x = 19,785.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.