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Finding the Fourth Proportional to 52,998, 79,533.45 and 21,833.25

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Solution

The fourth proportional to 52,998, 79,533.45 and 21,833.25 is: 32,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,998 : 79,533.45 = 21,833.25 : x
  2. Step 2: Convert to fraction form
    52,998/79,533.45 = 21,833.25/x
  3. Step 3: Cross multiply
    52,998x = 79,533.45 × 21,833.25
  4. Step 4: Simplify right side
    52,998x = 1,736,473,697.21
  5. Step 5: Solve for x
    x = 1,736,473,697.21/52,998
  6. Step 6: Final answer
    x = 32,764.89

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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.