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Finding the Fourth Proportional to 82,762.76, 114,215.20 and 46,954.28

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Solution

The fourth proportional to 82,762.76, 114,215.20 and 46,954.28 is: 64,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,762.76 : 114,215.20 = 46,954.28 : x
  2. Step 2: Convert to fraction form
    82,762.76/114,215.20 = 46,954.28/x
  3. Step 3: Cross multiply
    82,762.76x = 114,215.20 × 46,954.28
  4. Step 4: Simplify right side
    82,762.76x = 5,362,892,481.06
  5. Step 5: Solve for x
    x = 5,362,892,481.06/82,762.76
  6. Step 6: Final answer
    x = 64,798.38

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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.