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Finding the Fourth Proportional to 53,163.94, 79,761.50 and 15,725

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Solution

The fourth proportional to 53,163.94, 79,761.50 and 15,725 is: 23,592.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,163.94 : 79,761.50 = 15,725 : x
  2. Step 2: Convert to fraction form
    53,163.94/79,761.50 = 15,725/x
  3. Step 3: Cross multiply
    53,163.94x = 79,761.50 × 15,725
  4. Step 4: Simplify right side
    53,163.94x = 1,254,249,587.50
  5. Step 5: Solve for x
    x = 1,254,249,587.50/53,163.94
  6. Step 6: Final answer
    x = 23,592.11

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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.