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Finding the Fourth Proportional to 29,846.16, 44,778.98 and 14,265

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Solution

The fourth proportional to 29,846.16, 44,778.98 and 14,265 is: 21,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,846.16 : 44,778.98 = 14,265 : x
  2. Step 2: Convert to fraction form
    29,846.16/44,778.98 = 14,265/x
  3. Step 3: Cross multiply
    29,846.16x = 44,778.98 × 14,265
  4. Step 4: Simplify right side
    29,846.16x = 638,772,149.70
  5. Step 5: Solve for x
    x = 638,772,149.70/29,846.16
  6. Step 6: Final answer
    x = 21,402.16

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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.