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Finding the Fourth Proportional to 69,645, 104,329.14 and 34,477.32

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Solution

The fourth proportional to 69,645, 104,329.14 and 34,477.32 is: 51,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,645 : 104,329.14 = 34,477.32 : x
  2. Step 2: Convert to fraction form
    69,645/104,329.14 = 34,477.32/x
  3. Step 3: Cross multiply
    69,645x = 104,329.14 × 34,477.32
  4. Step 4: Simplify right side
    69,645x = 3,596,989,145.10
  5. Step 5: Solve for x
    x = 3,596,989,145.10/69,645
  6. Step 6: Final answer
    x = 51,647.49

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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.