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Finding the Fourth Proportional to 98,978.95, 148,466.31 and 24,099.49

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Solution

The fourth proportional to 98,978.95, 148,466.31 and 24,099.49 is: 36,148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,978.95 : 148,466.31 = 24,099.49 : x
  2. Step 2: Convert to fraction form
    98,978.95/148,466.31 = 24,099.49/x
  3. Step 3: Cross multiply
    98,978.95x = 148,466.31 × 24,099.49
  4. Step 4: Simplify right side
    98,978.95x = 3,577,962,353.18
  5. Step 5: Solve for x
    x = 3,577,962,353.18/98,978.95
  6. Step 6: Final answer
    x = 36,148.72

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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.