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Finding the Fourth Proportional to 32,883.68, 49,320.12 and 14,158.68

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Solution

The fourth proportional to 32,883.68, 49,320.12 and 14,158.68 is: 21,235.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,883.68 : 49,320.12 = 14,158.68 : x
  2. Step 2: Convert to fraction form
    32,883.68/49,320.12 = 14,158.68/x
  3. Step 3: Cross multiply
    32,883.68x = 49,320.12 × 14,158.68
  4. Step 4: Simplify right side
    32,883.68x = 698,307,796.64
  5. Step 5: Solve for x
    x = 698,307,796.64/32,883.68
  6. Step 6: Final answer
    x = 21,235.69

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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.