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Finding the Fourth Proportional to 82,984.93, 114,528.89 and 47,180.31

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Solution

The fourth proportional to 82,984.93, 114,528.89 and 47,180.31 is: 65,114.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,984.93 : 114,528.89 = 47,180.31 : x
  2. Step 2: Convert to fraction form
    82,984.93/114,528.89 = 47,180.31/x
  3. Step 3: Cross multiply
    82,984.93x = 114,528.89 × 47,180.31
  4. Step 4: Simplify right side
    82,984.93x = 5,403,508,534.16
  5. Step 5: Solve for x
    x = 5,403,508,534.16/82,984.93
  6. Step 6: Final answer
    x = 65,114.34

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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.