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Finding the Fourth Proportional to 32,409.88, 48,615.04 and 9,036.52

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Solution

The fourth proportional to 32,409.88, 48,615.04 and 9,036.52 is: 13,554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.88 : 48,615.04 = 9,036.52 : x
  2. Step 2: Convert to fraction form
    32,409.88/48,615.04 = 9,036.52/x
  3. Step 3: Cross multiply
    32,409.88x = 48,615.04 × 9,036.52
  4. Step 4: Simplify right side
    32,409.88x = 439,310,781.26
  5. Step 5: Solve for x
    x = 439,310,781.26/32,409.88
  6. Step 6: Final answer
    x = 13,554.84

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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.