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Finding the Fourth Proportional to 32,063.16, 48,100 and 9,876.54

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Solution

The fourth proportional to 32,063.16, 48,100 and 9,876.54 is: 14,816.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,063.16 : 48,100 = 9,876.54 : x
  2. Step 2: Convert to fraction form
    32,063.16/48,100 = 9,876.54/x
  3. Step 3: Cross multiply
    32,063.16x = 48,100 × 9,876.54
  4. Step 4: Simplify right side
    32,063.16x = 475,061,574.00
  5. Step 5: Solve for x
    x = 475,061,574.00/32,063.16
  6. Step 6: Final answer
    x = 14,816.43

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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.