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Finding the Fourth Proportional to 32,047.99, 48,081.69 and 22,706.08

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Solution

The fourth proportional to 32,047.99, 48,081.69 and 22,706.08 is: 34,065.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,047.99 : 48,081.69 = 22,706.08 : x
  2. Step 2: Convert to fraction form
    32,047.99/48,081.69 = 22,706.08/x
  3. Step 3: Cross multiply
    32,047.99x = 48,081.69 × 22,706.08
  4. Step 4: Simplify right side
    32,047.99x = 1,091,746,579.47
  5. Step 5: Solve for x
    x = 1,091,746,579.47/32,047.99
  6. Step 6: Final answer
    x = 34,065.99

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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.