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Finding the Fourth Proportional to 37,570, 56,374.44 and 19,102

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Solution

The fourth proportional to 37,570, 56,374.44 and 19,102 is: 28,662.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,570 : 56,374.44 = 19,102 : x
  2. Step 2: Convert to fraction form
    37,570/56,374.44 = 19,102/x
  3. Step 3: Cross multiply
    37,570x = 56,374.44 × 19,102
  4. Step 4: Simplify right side
    37,570x = 1,076,864,552.88
  5. Step 5: Solve for x
    x = 1,076,864,552.88/37,570
  6. Step 6: Final answer
    x = 28,662.88

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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.