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Finding the Fourth Proportional to 29,856.42, 44,716.55 and 14,285.06

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Solution

The fourth proportional to 29,856.42, 44,716.55 and 14,285.06 is: 21,395.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,856.42 : 44,716.55 = 14,285.06 : x
  2. Step 2: Convert to fraction form
    29,856.42/44,716.55 = 14,285.06/x
  3. Step 3: Cross multiply
    29,856.42x = 44,716.55 × 14,285.06
  4. Step 4: Simplify right side
    29,856.42x = 638,778,599.74
  5. Step 5: Solve for x
    x = 638,778,599.74/29,856.42
  6. Step 6: Final answer
    x = 21,395.02

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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.