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Finding the Fourth Proportional to 32,809.88, 49,211.70 and 13,083.16

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Solution

The fourth proportional to 32,809.88, 49,211.70 and 13,083.16 is: 19,623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,809.88 : 49,211.70 = 13,083.16 : x
  2. Step 2: Convert to fraction form
    32,809.88/49,211.70 = 13,083.16/x
  3. Step 3: Cross multiply
    32,809.88x = 49,211.70 × 13,083.16
  4. Step 4: Simplify right side
    32,809.88x = 643,844,544.97
  5. Step 5: Solve for x
    x = 643,844,544.97/32,809.88
  6. Step 6: Final answer
    x = 19,623.50

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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.