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Finding the Fourth Proportional to 82,870.63, 114,362.22 and 45,144.88

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Solution

The fourth proportional to 82,870.63, 114,362.22 and 45,144.88 is: 62,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,870.63 : 114,362.22 = 45,144.88 : x
  2. Step 2: Convert to fraction form
    82,870.63/114,362.22 = 45,144.88/x
  3. Step 3: Cross multiply
    82,870.63x = 114,362.22 × 45,144.88
  4. Step 4: Simplify right side
    82,870.63x = 5,162,868,698.43
  5. Step 5: Solve for x
    x = 5,162,868,698.43/82,870.63
  6. Step 6: Final answer
    x = 62,300.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.