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Finding the Fourth Proportional to 37,842.12, 56,748.12 and 12,877.08

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Solution

The fourth proportional to 37,842.12, 56,748.12 and 12,877.08 is: 19,310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842.12 : 56,748.12 = 12,877.08 : x
  2. Step 2: Convert to fraction form
    37,842.12/56,748.12 = 12,877.08/x
  3. Step 3: Cross multiply
    37,842.12x = 56,748.12 × 12,877.08
  4. Step 4: Simplify right side
    37,842.12x = 730,750,081.09
  5. Step 5: Solve for x
    x = 730,750,081.09/37,842.12
  6. Step 6: Final answer
    x = 19,310.50

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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.