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Finding the Fourth Proportional to 37,827, 56,740.50 and 10,125

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Solution

The fourth proportional to 37,827, 56,740.50 and 10,125 is: 15,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,827 : 56,740.50 = 10,125 : x
  2. Step 2: Convert to fraction form
    37,827/56,740.50 = 10,125/x
  3. Step 3: Cross multiply
    37,827x = 56,740.50 × 10,125
  4. Step 4: Simplify right side
    37,827x = 574,497,562.50
  5. Step 5: Solve for x
    x = 574,497,562.50/37,827
  6. Step 6: Final answer
    x = 15,187.50

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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.