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Finding the Fourth Proportional to 82,870.38, 114,361.88 and 45,144.63

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Solution

The fourth proportional to 82,870.38, 114,361.88 and 45,144.63 is: 62,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,870.38 : 114,361.88 = 45,144.63 : x
  2. Step 2: Convert to fraction form
    82,870.38/114,361.88 = 45,144.63/x
  3. Step 3: Cross multiply
    82,870.38x = 114,361.88 × 45,144.63
  4. Step 4: Simplify right side
    82,870.38x = 5,162,824,532.98
  5. Step 5: Solve for x
    x = 5,162,824,532.98/82,870.38
  6. Step 6: Final answer
    x = 62,300.00

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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.