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Finding the Fourth Proportional to 31,145.40, 46,718.10 and 10,085.40

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Solution

The fourth proportional to 31,145.40, 46,718.10 and 10,085.40 is: 15,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,145.40 : 46,718.10 = 10,085.40 : x
  2. Step 2: Convert to fraction form
    31,145.40/46,718.10 = 10,085.40/x
  3. Step 3: Cross multiply
    31,145.40x = 46,718.10 × 10,085.40
  4. Step 4: Simplify right side
    31,145.40x = 471,170,725.74
  5. Step 5: Solve for x
    x = 471,170,725.74/31,145.40
  6. Step 6: Final answer
    x = 15,128.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.