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Finding the Fourth Proportional to 98,322, 147,483.54 and 24,450

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Solution

The fourth proportional to 98,322, 147,483.54 and 24,450 is: 36,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,322 : 147,483.54 = 24,450 : x
  2. Step 2: Convert to fraction form
    98,322/147,483.54 = 24,450/x
  3. Step 3: Cross multiply
    98,322x = 147,483.54 × 24,450
  4. Step 4: Simplify right side
    98,322x = 3,605,972,553
  5. Step 5: Solve for x
    x = 3,605,972,553/98,322
  6. Step 6: Final answer
    x = 36,675.13

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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.