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Finding the Fourth Proportional to 82,622.30, 114,018.47 and 46,819.15

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Solution

The fourth proportional to 82,622.30, 114,018.47 and 46,819.15 is: 64,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,622.30 : 114,018.47 = 46,819.15 : x
  2. Step 2: Convert to fraction form
    82,622.30/114,018.47 = 46,819.15/x
  3. Step 3: Cross multiply
    82,622.30x = 114,018.47 × 46,819.15
  4. Step 4: Simplify right side
    82,622.30x = 5,338,247,849.70
  5. Step 5: Solve for x
    x = 5,338,247,849.70/82,622.30
  6. Step 6: Final answer
    x = 64,610.25

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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.