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Finding the Fourth Proportional to 32,167.40, 48,262.05 and 20,307.38

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Solution

The fourth proportional to 32,167.40, 48,262.05 and 20,307.38 is: 30,467.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,167.40 : 48,262.05 = 20,307.38 : x
  2. Step 2: Convert to fraction form
    32,167.40/48,262.05 = 20,307.38/x
  3. Step 3: Cross multiply
    32,167.40x = 48,262.05 × 20,307.38
  4. Step 4: Simplify right side
    32,167.40x = 980,075,788.93
  5. Step 5: Solve for x
    x = 980,075,788.93/32,167.40
  6. Step 6: Final answer
    x = 30,467.98

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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.