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Finding the Fourth Proportional to 34,317.68, 51,477.06 and 13,541

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Solution

The fourth proportional to 34,317.68, 51,477.06 and 13,541 is: 20,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,317.68 : 51,477.06 = 13,541 : x
  2. Step 2: Convert to fraction form
    34,317.68/51,477.06 = 13,541/x
  3. Step 3: Cross multiply
    34,317.68x = 51,477.06 × 13,541
  4. Step 4: Simplify right side
    34,317.68x = 697,050,869.46
  5. Step 5: Solve for x
    x = 697,050,869.46/34,317.68
  6. Step 6: Final answer
    x = 20,311.71

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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.