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Finding the Fourth Proportional to 37,672, 56,518.08 and 13,048

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Solution

The fourth proportional to 37,672, 56,518.08 and 13,048 is: 19,575.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,672 : 56,518.08 = 13,048 : x
  2. Step 2: Convert to fraction form
    37,672/56,518.08 = 13,048/x
  3. Step 3: Cross multiply
    37,672x = 56,518.08 × 13,048
  4. Step 4: Simplify right side
    37,672x = 737,447,907.84
  5. Step 5: Solve for x
    x = 737,447,907.84/37,672
  6. Step 6: Final answer
    x = 19,575.49

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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.