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Finding the Fourth Proportional to 37,653.28, 56,445.36 and 13,012

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Solution

The fourth proportional to 37,653.28, 56,445.36 and 13,012 is: 19,506.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,653.28 : 56,445.36 = 13,012 : x
  2. Step 2: Convert to fraction form
    37,653.28/56,445.36 = 13,012/x
  3. Step 3: Cross multiply
    37,653.28x = 56,445.36 × 13,012
  4. Step 4: Simplify right side
    37,653.28x = 734,467,024.32
  5. Step 5: Solve for x
    x = 734,467,024.32/37,653.28
  6. Step 6: Final answer
    x = 19,506.06

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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.