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Finding the Fourth Proportional to 52,971.02, 79,388.98 and 24,829

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Solution

The fourth proportional to 52,971.02, 79,388.98 and 24,829 is: 37,211.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,971.02 : 79,388.98 = 24,829 : x
  2. Step 2: Convert to fraction form
    52,971.02/79,388.98 = 24,829/x
  3. Step 3: Cross multiply
    52,971.02x = 79,388.98 × 24,829
  4. Step 4: Simplify right side
    52,971.02x = 1,971,148,984.42
  5. Step 5: Solve for x
    x = 1,971,148,984.42/52,971.02
  6. Step 6: Final answer
    x = 37,211.84

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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.