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Finding the Fourth Proportional to 32,065, 48,095.21 and 9,876.06

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Solution

The fourth proportional to 32,065, 48,095.21 and 9,876.06 is: 14,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,065 : 48,095.21 = 9,876.06 : x
  2. Step 2: Convert to fraction form
    32,065/48,095.21 = 9,876.06/x
  3. Step 3: Cross multiply
    32,065x = 48,095.21 × 9,876.06
  4. Step 4: Simplify right side
    32,065x = 474,991,179.67
  5. Step 5: Solve for x
    x = 474,991,179.67/32,065
  6. Step 6: Final answer
    x = 14,813.38

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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.