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Finding the Fourth Proportional to 32,123.88, 48,146.94 and 13,617

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Solution

The fourth proportional to 32,123.88, 48,146.94 and 13,617 is: 20,409.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,123.88 : 48,146.94 = 13,617 : x
  2. Step 2: Convert to fraction form
    32,123.88/48,146.94 = 13,617/x
  3. Step 3: Cross multiply
    32,123.88x = 48,146.94 × 13,617
  4. Step 4: Simplify right side
    32,123.88x = 655,616,881.98
  5. Step 5: Solve for x
    x = 655,616,881.98/32,123.88
  6. Step 6: Final answer
    x = 20,409.02

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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.