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Finding the Fourth Proportional to 32,509, 48,763.52 and 7,885

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Solution

The fourth proportional to 32,509, 48,763.52 and 7,885 is: 11,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509 : 48,763.52 = 7,885 : x
  2. Step 2: Convert to fraction form
    32,509/48,763.52 = 7,885/x
  3. Step 3: Cross multiply
    32,509x = 48,763.52 × 7,885
  4. Step 4: Simplify right side
    32,509x = 384,500,355.20
  5. Step 5: Solve for x
    x = 384,500,355.20/32,509
  6. Step 6: Final answer
    x = 11,827.50

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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.