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Finding the Fourth Proportional to 32,883.36, 49,320.16 and 12,102

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Solution

The fourth proportional to 32,883.36, 49,320.16 and 12,102 is: 18,151.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,883.36 : 49,320.16 = 12,102 : x
  2. Step 2: Convert to fraction form
    32,883.36/49,320.16 = 12,102/x
  3. Step 3: Cross multiply
    32,883.36x = 49,320.16 × 12,102
  4. Step 4: Simplify right side
    32,883.36x = 596,872,576.32
  5. Step 5: Solve for x
    x = 596,872,576.32/32,883.36
  6. Step 6: Final answer
    x = 18,151.20

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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.