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Finding the Fourth Proportional to 106,492.75, 159,728.49 and 43,316.60

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Solution

The fourth proportional to 106,492.75, 159,728.49 and 43,316.60 is: 64,970.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,492.75 : 159,728.49 = 43,316.60 : x
  2. Step 2: Convert to fraction form
    106,492.75/159,728.49 = 43,316.60/x
  3. Step 3: Cross multiply
    106,492.75x = 159,728.49 × 43,316.60
  4. Step 4: Simplify right side
    106,492.75x = 6,918,894,311.29
  5. Step 5: Solve for x
    x = 6,918,894,311.29/106,492.75
  6. Step 6: Final answer
    x = 64,970.57

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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.