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Finding the Fourth Proportional to 82,706.30, 114,131.40 and 44,980.58

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Solution

The fourth proportional to 82,706.30, 114,131.40 and 44,980.58 is: 62,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,706.30 : 114,131.40 = 44,980.58 : x
  2. Step 2: Convert to fraction form
    82,706.30/114,131.40 = 44,980.58/x
  3. Step 3: Cross multiply
    82,706.30x = 114,131.40 × 44,980.58
  4. Step 4: Simplify right side
    82,706.30x = 5,133,696,568.21
  5. Step 5: Solve for x
    x = 5,133,696,568.21/82,706.30
  6. Step 6: Final answer
    x = 62,071.41

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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.