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Finding the Fourth Proportional to 82,662.60, 114,066.39 and 46,365.48

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Solution

The fourth proportional to 82,662.60, 114,066.39 and 46,365.48 is: 63,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,662.60 : 114,066.39 = 46,365.48 : x
  2. Step 2: Convert to fraction form
    82,662.60/114,066.39 = 46,365.48/x
  3. Step 3: Cross multiply
    82,662.60x = 114,066.39 × 46,365.48
  4. Step 4: Simplify right side
    82,662.60x = 5,288,742,924.22
  5. Step 5: Solve for x
    x = 5,288,742,924.22/82,662.60
  6. Step 6: Final answer
    x = 63,979.88

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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.