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Finding the Fourth Proportional to 37,604, 56,396.76 and 16,549.32

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Solution

The fourth proportional to 37,604, 56,396.76 and 16,549.32 is: 24,819.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,604 : 56,396.76 = 16,549.32 : x
  2. Step 2: Convert to fraction form
    37,604/56,396.76 = 16,549.32/x
  3. Step 3: Cross multiply
    37,604x = 56,396.76 × 16,549.32
  4. Step 4: Simplify right side
    37,604x = 933,328,028.20
  5. Step 5: Solve for x
    x = 933,328,028.20/37,604
  6. Step 6: Final answer
    x = 24,819.91

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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.