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Finding the Fourth Proportional to 32,507, 48,760.52 and 7,883

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Solution

The fourth proportional to 32,507, 48,760.52 and 7,883 is: 11,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,507 : 48,760.52 = 7,883 : x
  2. Step 2: Convert to fraction form
    32,507/48,760.52 = 7,883/x
  3. Step 3: Cross multiply
    32,507x = 48,760.52 × 7,883
  4. Step 4: Simplify right side
    32,507x = 384,379,179.16
  5. Step 5: Solve for x
    x = 384,379,179.16/32,507
  6. Step 6: Final answer
    x = 11,824.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.