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Finding the Fourth Proportional to 82,745.46, 114,209.13 and 46,957.04

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Solution

The fourth proportional to 82,745.46, 114,209.13 and 46,957.04 is: 64,812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,745.46 : 114,209.13 = 46,957.04 : x
  2. Step 2: Convert to fraction form
    82,745.46/114,209.13 = 46,957.04/x
  3. Step 3: Cross multiply
    82,745.46x = 114,209.13 × 46,957.04
  4. Step 4: Simplify right side
    82,745.46x = 5,362,922,114.73
  5. Step 5: Solve for x
    x = 5,362,922,114.73/82,745.46
  6. Step 6: Final answer
    x = 64,812.28

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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.