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Finding the Fourth Proportional to 29,830.12, 44,754.06 and 12,301

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Solution

The fourth proportional to 29,830.12, 44,754.06 and 12,301 is: 18,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830.12 : 44,754.06 = 12,301 : x
  2. Step 2: Convert to fraction form
    29,830.12/44,754.06 = 12,301/x
  3. Step 3: Cross multiply
    29,830.12x = 44,754.06 × 12,301
  4. Step 4: Simplify right side
    29,830.12x = 550,519,692.06
  5. Step 5: Solve for x
    x = 550,519,692.06/29,830.12
  6. Step 6: Final answer
    x = 18,455.16

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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.