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Finding the Fourth Proportional to 82,702.14, 114,154.94 and 46,915.94

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Solution

The fourth proportional to 82,702.14, 114,154.94 and 46,915.94 is: 64,758.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,702.14 : 114,154.94 = 46,915.94 : x
  2. Step 2: Convert to fraction form
    82,702.14/114,154.94 = 46,915.94/x
  3. Step 3: Cross multiply
    82,702.14x = 114,154.94 × 46,915.94
  4. Step 4: Simplify right side
    82,702.14x = 5,355,685,627.68
  5. Step 5: Solve for x
    x = 5,355,685,627.68/82,702.14
  6. Step 6: Final answer
    x = 64,758.73

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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.