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Finding the Fourth Proportional to 82,838.56, 124,240.20 and 23,658.52

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Solution

The fourth proportional to 82,838.56, 124,240.20 and 23,658.52 is: 35,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,838.56 : 124,240.20 = 23,658.52 : x
  2. Step 2: Convert to fraction form
    82,838.56/124,240.20 = 23,658.52/x
  3. Step 3: Cross multiply
    82,838.56x = 124,240.20 × 23,658.52
  4. Step 4: Simplify right side
    82,838.56x = 2,939,339,256.50
  5. Step 5: Solve for x
    x = 2,939,339,256.50/82,838.56
  6. Step 6: Final answer
    x = 35,482.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.