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Finding the Fourth Proportional to 82,395.75, 113,709.20 and 46,583.63

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Solution

The fourth proportional to 82,395.75, 113,709.20 and 46,583.63 is: 64,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,395.75 : 113,709.20 = 46,583.63 : x
  2. Step 2: Convert to fraction form
    82,395.75/113,709.20 = 46,583.63/x
  3. Step 3: Cross multiply
    82,395.75x = 113,709.20 × 46,583.63
  4. Step 4: Simplify right side
    82,395.75x = 5,296,987,300.40
  5. Step 5: Solve for x
    x = 5,296,987,300.40/82,395.75
  6. Step 6: Final answer
    x = 64,287.14

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1.5x scale

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.