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Finding the Fourth Proportional to 47,242.40, 65,199.16 and 35,285

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Solution

The fourth proportional to 47,242.40, 65,199.16 and 35,285 is: 48,696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,242.40 : 65,199.16 = 35,285 : x
  2. Step 2: Convert to fraction form
    47,242.40/65,199.16 = 35,285/x
  3. Step 3: Cross multiply
    47,242.40x = 65,199.16 × 35,285
  4. Step 4: Simplify right side
    47,242.40x = 2,300,552,360.60
  5. Step 5: Solve for x
    x = 2,300,552,360.60/47,242.40
  6. Step 6: Final answer
    x = 48,696.77

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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.