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Finding the Fourth Proportional to 82,772.34, 114,223.68 and 48,323.67

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Solution

The fourth proportional to 82,772.34, 114,223.68 and 48,323.67 is: 66,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,772.34 : 114,223.68 = 48,323.67 : x
  2. Step 2: Convert to fraction form
    82,772.34/114,223.68 = 48,323.67/x
  3. Step 3: Cross multiply
    82,772.34x = 114,223.68 × 48,323.67
  4. Step 4: Simplify right side
    82,772.34x = 5,519,707,418.51
  5. Step 5: Solve for x
    x = 5,519,707,418.51/82,772.34
  6. Step 6: Final answer
    x = 66,685.41

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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.