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Finding the Fourth Proportional to 68,946.14, 103,419.24 and 19,698.14

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Solution

The fourth proportional to 68,946.14, 103,419.24 and 19,698.14 is: 29,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,946.14 : 103,419.24 = 19,698.14 : x
  2. Step 2: Convert to fraction form
    68,946.14/103,419.24 = 19,698.14/x
  3. Step 3: Cross multiply
    68,946.14x = 103,419.24 × 19,698.14
  4. Step 4: Simplify right side
    68,946.14x = 2,037,166,668.21
  5. Step 5: Solve for x
    x = 2,037,166,668.21/68,946.14
  6. Step 6: Final answer
    x = 29,547.22

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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.