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Finding the Fourth Proportional to 32,143.56, 48,199.53 and 13,417.98

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Solution

The fourth proportional to 32,143.56, 48,199.53 and 13,417.98 is: 20,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,143.56 : 48,199.53 = 13,417.98 : x
  2. Step 2: Convert to fraction form
    32,143.56/48,199.53 = 13,417.98/x
  3. Step 3: Cross multiply
    32,143.56x = 48,199.53 × 13,417.98
  4. Step 4: Simplify right side
    32,143.56x = 646,740,329.55
  5. Step 5: Solve for x
    x = 646,740,329.55/32,143.56
  6. Step 6: Final answer
    x = 20,120.37

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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.