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Finding the Fourth Proportional to 105,955.65, 158,834.66 and 35,785.89

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Solution

The fourth proportional to 105,955.65, 158,834.66 and 35,785.89 is: 53,645.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,955.65 : 158,834.66 = 35,785.89 : x
  2. Step 2: Convert to fraction form
    105,955.65/158,834.66 = 35,785.89/x
  3. Step 3: Cross multiply
    105,955.65x = 158,834.66 × 35,785.89
  4. Step 4: Simplify right side
    105,955.65x = 5,684,039,492.02
  5. Step 5: Solve for x
    x = 5,684,039,492.02/105,955.65
  6. Step 6: Final answer
    x = 53,645.46

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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.