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Finding the Fourth Proportional to 32,126.67, 48,192.44 and 8,752.50

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Solution

The fourth proportional to 32,126.67, 48,192.44 and 8,752.50 is: 13,129.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,126.67 : 48,192.44 = 8,752.50 : x
  2. Step 2: Convert to fraction form
    32,126.67/48,192.44 = 8,752.50/x
  3. Step 3: Cross multiply
    32,126.67x = 48,192.44 × 8,752.50
  4. Step 4: Simplify right side
    32,126.67x = 421,804,287.34
  5. Step 5: Solve for x
    x = 421,804,287.34/32,126.67
  6. Step 6: Final answer
    x = 13,129.41

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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.