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Finding the Fourth Proportional to 99,492.08, 149,254.32 and 29,378.48

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Solution

The fourth proportional to 99,492.08, 149,254.32 and 29,378.48 is: 44,072.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,492.08 : 149,254.32 = 29,378.48 : x
  2. Step 2: Convert to fraction form
    99,492.08/149,254.32 = 29,378.48/x
  3. Step 3: Cross multiply
    99,492.08x = 149,254.32 × 29,378.48
  4. Step 4: Simplify right side
    99,492.08x = 4,384,865,055.03
  5. Step 5: Solve for x
    x = 4,384,865,055.03/99,492.08
  6. Step 6: Final answer
    x = 44,072.50

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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.