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Finding the Fourth Proportional to 75,492.56, 113,275.75 and 53,447.60

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Solution

The fourth proportional to 75,492.56, 113,275.75 and 53,447.60 is: 80,197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,492.56 : 113,275.75 = 53,447.60 : x
  2. Step 2: Convert to fraction form
    75,492.56/113,275.75 = 53,447.60/x
  3. Step 3: Cross multiply
    75,492.56x = 113,275.75 × 53,447.60
  4. Step 4: Simplify right side
    75,492.56x = 6,054,317,125.27
  5. Step 5: Solve for x
    x = 6,054,317,125.27/75,492.56
  6. Step 6: Final answer
    x = 80,197.53

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1.5x scale

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.