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Finding the Fourth Proportional to 58,986.64, 81,481.16 and 47,133.12

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Solution

The fourth proportional to 58,986.64, 81,481.16 and 47,133.12 is: 65,107.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,986.64 : 81,481.16 = 47,133.12 : x
  2. Step 2: Convert to fraction form
    58,986.64/81,481.16 = 47,133.12/x
  3. Step 3: Cross multiply
    58,986.64x = 81,481.16 × 47,133.12
  4. Step 4: Simplify right side
    58,986.64x = 3,840,461,292.02
  5. Step 5: Solve for x
    x = 3,840,461,292.02/58,986.64
  6. Step 6: Final answer
    x = 65,107.31

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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.