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Finding the Fourth Proportional to 32,100.17, 48,126.15 and 9,900.50

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Solution

The fourth proportional to 32,100.17, 48,126.15 and 9,900.50 is: 14,843.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,100.17 : 48,126.15 = 9,900.50 : x
  2. Step 2: Convert to fraction form
    32,100.17/48,126.15 = 9,900.50/x
  3. Step 3: Cross multiply
    32,100.17x = 48,126.15 × 9,900.50
  4. Step 4: Simplify right side
    32,100.17x = 476,472,707.44
  5. Step 5: Solve for x
    x = 476,472,707.44/32,100.17
  6. Step 6: Final answer
    x = 14,843.31

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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.