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Finding the Fourth Proportional to 82,563.62, 113,938.79 and 46,752.71

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Solution

The fourth proportional to 82,563.62, 113,938.79 and 46,752.71 is: 64,519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,563.62 : 113,938.79 = 46,752.71 : x
  2. Step 2: Convert to fraction form
    82,563.62/113,938.79 = 46,752.71/x
  3. Step 3: Cross multiply
    82,563.62x = 113,938.79 × 46,752.71
  4. Step 4: Simplify right side
    82,563.62x = 5,326,946,403.16
  5. Step 5: Solve for x
    x = 5,326,946,403.16/82,563.62
  6. Step 6: Final answer
    x = 64,519.30

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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.