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Finding the Fourth Proportional to 98,883.74, 148,325.66 and 24,004

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Solution

The fourth proportional to 98,883.74, 148,325.66 and 24,004 is: 36,006.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,883.74 : 148,325.66 = 24,004 : x
  2. Step 2: Convert to fraction form
    98,883.74/148,325.66 = 24,004/x
  3. Step 3: Cross multiply
    98,883.74x = 148,325.66 × 24,004
  4. Step 4: Simplify right side
    98,883.74x = 3,560,409,142.64
  5. Step 5: Solve for x
    x = 3,560,409,142.64/98,883.74
  6. Step 6: Final answer
    x = 36,006.01

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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.