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Finding the Fourth Proportional to 82,637.64, 114,021.12 and 46,819.44

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Solution

The fourth proportional to 82,637.64, 114,021.12 and 46,819.44 is: 64,600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,637.64 : 114,021.12 = 46,819.44 : x
  2. Step 2: Convert to fraction form
    82,637.64/114,021.12 = 46,819.44/x
  3. Step 3: Cross multiply
    82,637.64x = 114,021.12 × 46,819.44
  4. Step 4: Simplify right side
    82,637.64x = 5,338,404,986.57
  5. Step 5: Solve for x
    x = 5,338,404,986.57/82,637.64
  6. Step 6: Final answer
    x = 64,600.16

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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.