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Finding the Fourth Proportional to 46,689.60, 70,034.34 and 17,109.74

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Solution

The fourth proportional to 46,689.60, 70,034.34 and 17,109.74 is: 25,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,689.60 : 70,034.34 = 17,109.74 : x
  2. Step 2: Convert to fraction form
    46,689.60/70,034.34 = 17,109.74/x
  3. Step 3: Cross multiply
    46,689.60x = 70,034.34 × 17,109.74
  4. Step 4: Simplify right side
    46,689.60x = 1,198,269,348.47
  5. Step 5: Solve for x
    x = 1,198,269,348.47/46,689.60
  6. Step 6: Final answer
    x = 25,664.59

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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.