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Finding the Fourth Proportional to 37,641, 56,461.50 and 13,017

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Solution

The fourth proportional to 37,641, 56,461.50 and 13,017 is: 19,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,641 : 56,461.50 = 13,017 : x
  2. Step 2: Convert to fraction form
    37,641/56,461.50 = 13,017/x
  3. Step 3: Cross multiply
    37,641x = 56,461.50 × 13,017
  4. Step 4: Simplify right side
    37,641x = 734,959,345.50
  5. Step 5: Solve for x
    x = 734,959,345.50/37,641
  6. Step 6: Final answer
    x = 19,525.50

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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.