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Finding the Fourth Proportional to 65,470.48, 90,349.32 and 35,662.48

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Solution

The fourth proportional to 65,470.48, 90,349.32 and 35,662.48 is: 49,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,470.48 : 90,349.32 = 35,662.48 : x
  2. Step 2: Convert to fraction form
    65,470.48/90,349.32 = 35,662.48/x
  3. Step 3: Cross multiply
    65,470.48x = 90,349.32 × 35,662.48
  4. Step 4: Simplify right side
    65,470.48x = 3,222,080,817.51
  5. Step 5: Solve for x
    x = 3,222,080,817.51/65,470.48
  6. Step 6: Final answer
    x = 49,214.25

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Why These Related Problems?

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