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Finding the Fourth Proportional to 53,013.81, 79,500.52 and 23,415.50

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Solution

The fourth proportional to 53,013.81, 79,500.52 and 23,415.50 is: 35,114.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,013.81 : 79,500.52 = 23,415.50 : x
  2. Step 2: Convert to fraction form
    53,013.81/79,500.52 = 23,415.50/x
  3. Step 3: Cross multiply
    53,013.81x = 79,500.52 × 23,415.50
  4. Step 4: Simplify right side
    53,013.81x = 1,861,544,426.06
  5. Step 5: Solve for x
    x = 1,861,544,426.06/53,013.81
  6. Step 6: Final answer
    x = 35,114.33

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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.