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Finding the Fourth Proportional to 34,468.56, 51,703.02 and 13,692.06

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Solution

The fourth proportional to 34,468.56, 51,703.02 and 13,692.06 is: 20,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,468.56 : 51,703.02 = 13,692.06 : x
  2. Step 2: Convert to fraction form
    34,468.56/51,703.02 = 13,692.06/x
  3. Step 3: Cross multiply
    34,468.56x = 51,703.02 × 13,692.06
  4. Step 4: Simplify right side
    34,468.56x = 707,920,852.02
  5. Step 5: Solve for x
    x = 707,920,852.02/34,468.56
  6. Step 6: Final answer
    x = 20,538.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.