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Finding the Fourth Proportional to 52,984.96, 79,488.96 and 16,048

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Solution

The fourth proportional to 52,984.96, 79,488.96 and 16,048 is: 24,075.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,984.96 : 79,488.96 = 16,048 : x
  2. Step 2: Convert to fraction form
    52,984.96/79,488.96 = 16,048/x
  3. Step 3: Cross multiply
    52,984.96x = 79,488.96 × 16,048
  4. Step 4: Simplify right side
    52,984.96x = 1,275,638,830.08
  5. Step 5: Solve for x
    x = 1,275,638,830.08/52,984.96
  6. Step 6: Final answer
    x = 24,075.49

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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.