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Finding the Fourth Proportional to 30,959.16, 46,457.16 and 11,239.26

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Solution

The fourth proportional to 30,959.16, 46,457.16 and 11,239.26 is: 16,865.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,959.16 : 46,457.16 = 11,239.26 : x
  2. Step 2: Convert to fraction form
    30,959.16/46,457.16 = 11,239.26/x
  3. Step 3: Cross multiply
    30,959.16x = 46,457.16 × 11,239.26
  4. Step 4: Simplify right side
    30,959.16x = 522,144,100.10
  5. Step 5: Solve for x
    x = 522,144,100.10/30,959.16
  6. Step 6: Final answer
    x = 16,865.58

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1.5x scale

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.