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Finding the Fourth Proportional to 53,095.46, 79,654.71 and 16,158.50

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Solution

The fourth proportional to 53,095.46, 79,654.71 and 16,158.50 is: 24,241.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,095.46 : 79,654.71 = 16,158.50 : x
  2. Step 2: Convert to fraction form
    53,095.46/79,654.71 = 16,158.50/x
  3. Step 3: Cross multiply
    53,095.46x = 79,654.71 × 16,158.50
  4. Step 4: Simplify right side
    53,095.46x = 1,287,100,631.54
  5. Step 5: Solve for x
    x = 1,287,100,631.54/53,095.46
  6. Step 6: Final answer
    x = 24,241.26

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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.