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Finding the Fourth Proportional to 32,247.47, 48,389.88 and 13,525.84

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Solution

The fourth proportional to 32,247.47, 48,389.88 and 13,525.84 is: 20,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,247.47 : 48,389.88 = 13,525.84 : x
  2. Step 2: Convert to fraction form
    32,247.47/48,389.88 = 13,525.84/x
  3. Step 3: Cross multiply
    32,247.47x = 48,389.88 × 13,525.84
  4. Step 4: Simplify right side
    32,247.47x = 654,513,774.50
  5. Step 5: Solve for x
    x = 654,513,774.50/32,247.47
  6. Step 6: Final answer
    x = 20,296.59

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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.