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Finding the Fourth Proportional to 82,948.68, 114,469.11 and 45,222.93

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Solution

The fourth proportional to 82,948.68, 114,469.11 and 45,222.93 is: 62,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,948.68 : 114,469.11 = 45,222.93 : x
  2. Step 2: Convert to fraction form
    82,948.68/114,469.11 = 45,222.93/x
  3. Step 3: Cross multiply
    82,948.68x = 114,469.11 × 45,222.93
  4. Step 4: Simplify right side
    82,948.68x = 5,176,628,548.69
  5. Step 5: Solve for x
    x = 5,176,628,548.69/82,948.68
  6. Step 6: Final answer
    x = 62,407.61

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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.