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Finding the Fourth Proportional to 98,464.10, 147,696.15 and 48,568.10

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Solution

The fourth proportional to 98,464.10, 147,696.15 and 48,568.10 is: 72,852.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,464.10 : 147,696.15 = 48,568.10 : x
  2. Step 2: Convert to fraction form
    98,464.10/147,696.15 = 48,568.10/x
  3. Step 3: Cross multiply
    98,464.10x = 147,696.15 × 48,568.10
  4. Step 4: Simplify right side
    98,464.10x = 7,173,321,382.82
  5. Step 5: Solve for x
    x = 7,173,321,382.82/98,464.10
  6. Step 6: Final answer
    x = 72,852.15

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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.