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Finding the Fourth Proportional to 97,099.04, 145,656.42 and 26,978.36

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Solution

The fourth proportional to 97,099.04, 145,656.42 and 26,978.36 is: 40,469.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,099.04 : 145,656.42 = 26,978.36 : x
  2. Step 2: Convert to fraction form
    97,099.04/145,656.42 = 26,978.36/x
  3. Step 3: Cross multiply
    97,099.04x = 145,656.42 × 26,978.36
  4. Step 4: Simplify right side
    97,099.04x = 3,929,571,335.07
  5. Step 5: Solve for x
    x = 3,929,571,335.07/97,099.04
  6. Step 6: Final answer
    x = 40,469.72

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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.