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Finding the Fourth Proportional to 31,784.74, 47,692.50 and 13,078.60

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Solution

The fourth proportional to 31,784.74, 47,692.50 and 13,078.60 is: 19,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,784.74 : 47,692.50 = 13,078.60 : x
  2. Step 2: Convert to fraction form
    31,784.74/47,692.50 = 13,078.60/x
  3. Step 3: Cross multiply
    31,784.74x = 47,692.50 × 13,078.60
  4. Step 4: Simplify right side
    31,784.74x = 623,751,130.50
  5. Step 5: Solve for x
    x = 623,751,130.50/31,784.74
  6. Step 6: Final answer
    x = 19,624.23

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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.