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Finding the Fourth Proportional to 70,054.56, 105,059.16 and 23,296.50

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Solution

The fourth proportional to 70,054.56, 105,059.16 and 23,296.50 is: 34,937.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,054.56 : 105,059.16 = 23,296.50 : x
  2. Step 2: Convert to fraction form
    70,054.56/105,059.16 = 23,296.50/x
  3. Step 3: Cross multiply
    70,054.56x = 105,059.16 × 23,296.50
  4. Step 4: Simplify right side
    70,054.56x = 2,447,510,720.94
  5. Step 5: Solve for x
    x = 2,447,510,720.94/70,054.56
  6. Step 6: Final answer
    x = 34,937.21

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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.