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Finding the Fourth Proportional to 38,706.26, 53,416.53 and 22,795.83

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Solution

The fourth proportional to 38,706.26, 53,416.53 and 22,795.83 is: 31,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,706.26 : 53,416.53 = 22,795.83 : x
  2. Step 2: Convert to fraction form
    38,706.26/53,416.53 = 22,795.83/x
  3. Step 3: Cross multiply
    38,706.26x = 53,416.53 × 22,795.83
  4. Step 4: Simplify right side
    38,706.26x = 1,217,674,137.07
  5. Step 5: Solve for x
    x = 1,217,674,137.07/38,706.26
  6. Step 6: Final answer
    x = 31,459.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.