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Finding the Fourth Proportional to 70,412.52, 105,634.44 and 23,664

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Solution

The fourth proportional to 70,412.52, 105,634.44 and 23,664 is: 35,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,412.52 : 105,634.44 = 23,664 : x
  2. Step 2: Convert to fraction form
    70,412.52/105,634.44 = 23,664/x
  3. Step 3: Cross multiply
    70,412.52x = 105,634.44 × 23,664
  4. Step 4: Simplify right side
    70,412.52x = 2,499,733,388.16
  5. Step 5: Solve for x
    x = 2,499,733,388.16/70,412.52
  6. Step 6: Final answer
    x = 35,501.26

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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.