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Finding the Fourth Proportional to 53,094.96, 79,653.96 and 16,158

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Solution

The fourth proportional to 53,094.96, 79,653.96 and 16,158 is: 24,240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,094.96 : 79,653.96 = 16,158 : x
  2. Step 2: Convert to fraction form
    53,094.96/79,653.96 = 16,158/x
  3. Step 3: Cross multiply
    53,094.96x = 79,653.96 × 16,158
  4. Step 4: Simplify right side
    53,094.96x = 1,287,048,685.68
  5. Step 5: Solve for x
    x = 1,287,048,685.68/53,094.96
  6. Step 6: Final answer
    x = 24,240.51

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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.