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Finding the Fourth Proportional to 82,560.36, 113,935.80 and 46,749.48

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Solution

The fourth proportional to 82,560.36, 113,935.80 and 46,749.48 is: 64,515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,560.36 : 113,935.80 = 46,749.48 : x
  2. Step 2: Convert to fraction form
    82,560.36/113,935.80 = 46,749.48/x
  3. Step 3: Cross multiply
    82,560.36x = 113,935.80 × 46,749.48
  4. Step 4: Simplify right side
    82,560.36x = 5,326,439,403.38
  5. Step 5: Solve for x
    x = 5,326,439,403.38/82,560.36
  6. Step 6: Final answer
    x = 64,515.70

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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.