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Finding the Fourth Proportional to 46,689.68, 70,034.77 and 11,629.33

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Solution

The fourth proportional to 46,689.68, 70,034.77 and 11,629.33 is: 17,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,689.68 : 70,034.77 = 11,629.33 : x
  2. Step 2: Convert to fraction form
    46,689.68/70,034.77 = 11,629.33/x
  3. Step 3: Cross multiply
    46,689.68x = 70,034.77 × 11,629.33
  4. Step 4: Simplify right side
    46,689.68x = 814,457,451.80
  5. Step 5: Solve for x
    x = 814,457,451.80/46,689.68
  6. Step 6: Final answer
    x = 17,444.06

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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.