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Finding the Fourth Proportional to 37,853.52, 56,802.12 and 17,077

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Solution

The fourth proportional to 37,853.52, 56,802.12 and 17,077 is: 25,625.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,853.52 : 56,802.12 = 17,077 : x
  2. Step 2: Convert to fraction form
    37,853.52/56,802.12 = 17,077/x
  3. Step 3: Cross multiply
    37,853.52x = 56,802.12 × 17,077
  4. Step 4: Simplify right side
    37,853.52x = 970,009,803.24
  5. Step 5: Solve for x
    x = 970,009,803.24/37,853.52
  6. Step 6: Final answer
    x = 25,625.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.