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Finding the Fourth Proportional to 30,859.84, 46,292.16 and 10,085.44

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Solution

The fourth proportional to 30,859.84, 46,292.16 and 10,085.44 is: 15,128.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,859.84 : 46,292.16 = 10,085.44 : x
  2. Step 2: Convert to fraction form
    30,859.84/46,292.16 = 10,085.44/x
  3. Step 3: Cross multiply
    30,859.84x = 46,292.16 × 10,085.44
  4. Step 4: Simplify right side
    30,859.84x = 466,876,802.15
  5. Step 5: Solve for x
    x = 466,876,802.15/30,859.84
  6. Step 6: Final answer
    x = 15,128.94

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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.