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Finding the Fourth Proportional to 31,283.02, 46,929.10 and 9,093.51

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Solution

The fourth proportional to 31,283.02, 46,929.10 and 9,093.51 is: 13,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,283.02 : 46,929.10 = 9,093.51 : x
  2. Step 2: Convert to fraction form
    31,283.02/46,929.10 = 9,093.51/x
  3. Step 3: Cross multiply
    31,283.02x = 46,929.10 × 9,093.51
  4. Step 4: Simplify right side
    31,283.02x = 426,750,251.51
  5. Step 5: Solve for x
    x = 426,750,251.51/31,283.02
  6. Step 6: Final answer
    x = 13,641.59

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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.