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Finding the Fourth Proportional to 52,886, 72,984.04 and 29,913.94

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Solution

The fourth proportional to 52,886, 72,984.04 and 29,913.94 is: 41,282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,886 : 72,984.04 = 29,913.94 : x
  2. Step 2: Convert to fraction form
    52,886/72,984.04 = 29,913.94/x
  3. Step 3: Cross multiply
    52,886x = 72,984.04 × 29,913.94
  4. Step 4: Simplify right side
    52,886x = 2,183,240,193.52
  5. Step 5: Solve for x
    x = 2,183,240,193.52/52,886
  6. Step 6: Final answer
    x = 41,282.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.