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Finding the Fourth Proportional to 99,364.02, 149,046.01 and 25,492.02

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Solution

The fourth proportional to 99,364.02, 149,046.01 and 25,492.02 is: 38,238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,364.02 : 149,046.01 = 25,492.02 : x
  2. Step 2: Convert to fraction form
    99,364.02/149,046.01 = 25,492.02/x
  3. Step 3: Cross multiply
    99,364.02x = 149,046.01 × 25,492.02
  4. Step 4: Simplify right side
    99,364.02x = 3,799,483,867.84
  5. Step 5: Solve for x
    x = 3,799,483,867.84/99,364.02
  6. Step 6: Final answer
    x = 38,238.02

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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.