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Finding the Fourth Proportional to 53,107.68, 79,624.80 and 23,509.44

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Solution

The fourth proportional to 53,107.68, 79,624.80 and 23,509.44 is: 35,247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,107.68 : 79,624.80 = 23,509.44 : x
  2. Step 2: Convert to fraction form
    53,107.68/79,624.80 = 23,509.44/x
  3. Step 3: Cross multiply
    53,107.68x = 79,624.80 × 23,509.44
  4. Step 4: Simplify right side
    53,107.68x = 1,871,934,458.11
  5. Step 5: Solve for x
    x = 1,871,934,458.11/53,107.68
  6. Step 6: Final answer
    x = 35,247.90

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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.