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Finding the Fourth Proportional to 82,625.30, 114,022.60 and 46,822.16

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Solution

The fourth proportional to 82,625.30, 114,022.60 and 46,822.16 is: 64,614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,625.30 : 114,022.60 = 46,822.16 : x
  2. Step 2: Convert to fraction form
    82,625.30/114,022.60 = 46,822.16/x
  3. Step 3: Cross multiply
    82,625.30x = 114,022.60 × 46,822.16
  4. Step 4: Simplify right side
    82,625.30x = 5,338,784,420.82
  5. Step 5: Solve for x
    x = 5,338,784,420.82/82,625.30
  6. Step 6: Final answer
    x = 64,614.40

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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.