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Finding the Fourth Proportional to 29,829.12, 44,752.56 and 12,300

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Solution

The fourth proportional to 29,829.12, 44,752.56 and 12,300 is: 18,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829.12 : 44,752.56 = 12,300 : x
  2. Step 2: Convert to fraction form
    29,829.12/44,752.56 = 12,300/x
  3. Step 3: Cross multiply
    29,829.12x = 44,752.56 × 12,300
  4. Step 4: Simplify right side
    29,829.12x = 550,456,488
  5. Step 5: Solve for x
    x = 550,456,488/29,829.12
  6. Step 6: Final answer
    x = 18,453.66

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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.