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Finding the Fourth Proportional to 82,984.51, 114,515.16 and 45,256.51

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Solution

The fourth proportional to 82,984.51, 114,515.16 and 45,256.51 is: 62,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,984.51 : 114,515.16 = 45,256.51 : x
  2. Step 2: Convert to fraction form
    82,984.51/114,515.16 = 45,256.51/x
  3. Step 3: Cross multiply
    82,984.51x = 114,515.16 × 45,256.51
  4. Step 4: Simplify right side
    82,984.51x = 5,182,556,257.41
  5. Step 5: Solve for x
    x = 5,182,556,257.41/82,984.51
  6. Step 6: Final answer
    x = 62,452.09

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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.