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Finding the Fourth Proportional to 46,602.94, 69,934.49 and 17,018.30

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Solution

The fourth proportional to 46,602.94, 69,934.49 and 17,018.30 is: 25,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,602.94 : 69,934.49 = 17,018.30 : x
  2. Step 2: Convert to fraction form
    46,602.94/69,934.49 = 17,018.30/x
  3. Step 3: Cross multiply
    46,602.94x = 69,934.49 × 17,018.30
  4. Step 4: Simplify right side
    46,602.94x = 1,190,166,131.17
  5. Step 5: Solve for x
    x = 1,190,166,131.17/46,602.94
  6. Step 6: Final answer
    x = 25,538.43

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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.