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Finding the Fourth Proportional to 70,531.08, 105,806.28 and 23,797.32

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Solution

The fourth proportional to 70,531.08, 105,806.28 and 23,797.32 is: 35,699.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,531.08 : 105,806.28 = 23,797.32 : x
  2. Step 2: Convert to fraction form
    70,531.08/105,806.28 = 23,797.32/x
  3. Step 3: Cross multiply
    70,531.08x = 105,806.28 × 23,797.32
  4. Step 4: Simplify right side
    70,531.08x = 2,517,905,903.17
  5. Step 5: Solve for x
    x = 2,517,905,903.17/70,531.08
  6. Step 6: Final answer
    x = 35,699.24

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Why These Related Problems?

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