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Finding the Fourth Proportional to 66,676.16, 100,054.04 and 23,978.03

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Solution

The fourth proportional to 66,676.16, 100,054.04 and 23,978.03 is: 35,981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,676.16 : 100,054.04 = 23,978.03 : x
  2. Step 2: Convert to fraction form
    66,676.16/100,054.04 = 23,978.03/x
  3. Step 3: Cross multiply
    66,676.16x = 100,054.04 × 23,978.03
  4. Step 4: Simplify right side
    66,676.16x = 2,399,098,152.58
  5. Step 5: Solve for x
    x = 2,399,098,152.58/66,676.16
  6. Step 6: Final answer
    x = 35,981.35

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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.