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Finding the Fourth Proportional to 32,188.42, 48,284.75 and 11,130.50

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Solution

The fourth proportional to 32,188.42, 48,284.75 and 11,130.50 is: 16,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,188.42 : 48,284.75 = 11,130.50 : x
  2. Step 2: Convert to fraction form
    32,188.42/48,284.75 = 11,130.50/x
  3. Step 3: Cross multiply
    32,188.42x = 48,284.75 × 11,130.50
  4. Step 4: Simplify right side
    32,188.42x = 537,433,409.88
  5. Step 5: Solve for x
    x = 537,433,409.88/32,188.42
  6. Step 6: Final answer
    x = 16,696.48

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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.