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Finding the Fourth Proportional to 37,616.46, 56,427.65 and 12,656.31

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Solution

The fourth proportional to 37,616.46, 56,427.65 and 12,656.31 is: 18,985.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,616.46 : 56,427.65 = 12,656.31 : x
  2. Step 2: Convert to fraction form
    37,616.46/56,427.65 = 12,656.31/x
  3. Step 3: Cross multiply
    37,616.46x = 56,427.65 × 12,656.31
  4. Step 4: Simplify right side
    37,616.46x = 714,165,830.97
  5. Step 5: Solve for x
    x = 714,165,830.97/37,616.46
  6. Step 6: Final answer
    x = 18,985.46

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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.