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Finding the Fourth Proportional to 98,950.28, 148,425.74 and 24,070.28

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Solution

The fourth proportional to 98,950.28, 148,425.74 and 24,070.28 is: 36,105.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,950.28 : 148,425.74 = 24,070.28 : x
  2. Step 2: Convert to fraction form
    98,950.28/148,425.74 = 24,070.28/x
  3. Step 3: Cross multiply
    98,950.28x = 148,425.74 × 24,070.28
  4. Step 4: Simplify right side
    98,950.28x = 3,572,649,121.01
  5. Step 5: Solve for x
    x = 3,572,649,121.01/98,950.28
  6. Step 6: Final answer
    x = 36,105.50

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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.