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Finding the Fourth Proportional to 37,818, 56,752.92 and 13,194

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Solution

The fourth proportional to 37,818, 56,752.92 and 13,194 is: 19,800.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,818 : 56,752.92 = 13,194 : x
  2. Step 2: Convert to fraction form
    37,818/56,752.92 = 13,194/x
  3. Step 3: Cross multiply
    37,818x = 56,752.92 × 13,194
  4. Step 4: Simplify right side
    37,818x = 748,798,026.48
  5. Step 5: Solve for x
    x = 748,798,026.48/37,818
  6. Step 6: Final answer
    x = 19,800.04

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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.