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Finding the Fourth Proportional to 34,066.19, 51,419.27 and 34,066.19

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Solution

The fourth proportional to 34,066.19, 51,419.27 and 34,066.19 is: 51,419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,066.19 : 51,419.27 = 34,066.19 : x
  2. Step 2: Convert to fraction form
    34,066.19/51,419.27 = 34,066.19/x
  3. Step 3: Cross multiply
    34,066.19x = 51,419.27 × 34,066.19
  4. Step 4: Simplify right side
    34,066.19x = 1,751,658,621.48
  5. Step 5: Solve for x
    x = 1,751,658,621.48/34,066.19
  6. Step 6: Final answer
    x = 51,419.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.