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Finding the Fourth Proportional to 30,607.67, 45,925.63 and 13,972.80

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Solution

The fourth proportional to 30,607.67, 45,925.63 and 13,972.80 is: 20,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,607.67 : 45,925.63 = 13,972.80 : x
  2. Step 2: Convert to fraction form
    30,607.67/45,925.63 = 13,972.80/x
  3. Step 3: Cross multiply
    30,607.67x = 45,925.63 × 13,972.80
  4. Step 4: Simplify right side
    30,607.67x = 641,709,858.75
  5. Step 5: Solve for x
    x = 641,709,858.75/30,607.67
  6. Step 6: Final answer
    x = 20,965.65

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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.