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Finding the Fourth Proportional to 82,940.71, 114,457.92 and 45,214.96

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Solution

The fourth proportional to 82,940.71, 114,457.92 and 45,214.96 is: 62,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,940.71 : 114,457.92 = 45,214.96 : x
  2. Step 2: Convert to fraction form
    82,940.71/114,457.92 = 45,214.96/x
  3. Step 3: Cross multiply
    82,940.71x = 114,457.92 × 45,214.96
  4. Step 4: Simplify right side
    82,940.71x = 5,175,210,274.48
  5. Step 5: Solve for x
    x = 5,175,210,274.48/82,940.71
  6. Step 6: Final answer
    x = 62,396.50

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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.