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Finding the Fourth Proportional to 68,709.32, 102,915.86 and 46,400.02

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Solution

The fourth proportional to 68,709.32, 102,915.86 and 46,400.02 is: 69,500.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,709.32 : 102,915.86 = 46,400.02 : x
  2. Step 2: Convert to fraction form
    68,709.32/102,915.86 = 46,400.02/x
  3. Step 3: Cross multiply
    68,709.32x = 102,915.86 × 46,400.02
  4. Step 4: Simplify right side
    68,709.32x = 4,775,297,962.32
  5. Step 5: Solve for x
    x = 4,775,297,962.32/68,709.32
  6. Step 6: Final answer
    x = 69,500.00

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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.