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Finding the Fourth Proportional to 98,889.90, 148,319.64 and 32,330.40

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Solution

The fourth proportional to 98,889.90, 148,319.64 and 32,330.40 is: 48,490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,889.90 : 148,319.64 = 32,330.40 : x
  2. Step 2: Convert to fraction form
    98,889.90/148,319.64 = 32,330.40/x
  3. Step 3: Cross multiply
    98,889.90x = 148,319.64 × 32,330.40
  4. Step 4: Simplify right side
    98,889.90x = 4,795,233,289.06
  5. Step 5: Solve for x
    x = 4,795,233,289.06/98,889.90
  6. Step 6: Final answer
    x = 48,490.63

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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.