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Finding the Fourth Proportional to 47,152.68, 65,085.78 and 30,202.52

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Solution

The fourth proportional to 47,152.68, 65,085.78 and 30,202.52 is: 41,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,152.68 : 65,085.78 = 30,202.52 : x
  2. Step 2: Convert to fraction form
    47,152.68/65,085.78 = 30,202.52/x
  3. Step 3: Cross multiply
    47,152.68x = 65,085.78 × 30,202.52
  4. Step 4: Simplify right side
    47,152.68x = 1,965,754,556.21
  5. Step 5: Solve for x
    x = 1,965,754,556.21/47,152.68
  6. Step 6: Final answer
    x = 41,689.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.