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Finding the Fourth Proportional to 52,995, 79,528.96 and 21,830.24

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Solution

The fourth proportional to 52,995, 79,528.96 and 21,830.24 is: 32,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,995 : 79,528.96 = 21,830.24 : x
  2. Step 2: Convert to fraction form
    52,995/79,528.96 = 21,830.24/x
  3. Step 3: Cross multiply
    52,995x = 79,528.96 × 21,830.24
  4. Step 4: Simplify right side
    52,995x = 1,736,136,283.75
  5. Step 5: Solve for x
    x = 1,736,136,283.75/52,995
  6. Step 6: Final answer
    x = 32,760.38

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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.