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Finding the Fourth Proportional to 98,894.31, 148,336.80 and 32,325.67

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Solution

The fourth proportional to 98,894.31, 148,336.80 and 32,325.67 is: 48,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,894.31 : 148,336.80 = 32,325.67 : x
  2. Step 2: Convert to fraction form
    98,894.31/148,336.80 = 32,325.67/x
  3. Step 3: Cross multiply
    98,894.31x = 148,336.80 × 32,325.67
  4. Step 4: Simplify right side
    98,894.31x = 4,795,086,445.66
  5. Step 5: Solve for x
    x = 4,795,086,445.66/98,894.31
  6. Step 6: Final answer
    x = 48,486.98

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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.