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Finding the Fourth Proportional to 32,564.70, 48,825.15 and 12,833.10

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Solution

The fourth proportional to 32,564.70, 48,825.15 and 12,833.10 is: 19,241.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564.70 : 48,825.15 = 12,833.10 : x
  2. Step 2: Convert to fraction form
    32,564.70/48,825.15 = 12,833.10/x
  3. Step 3: Cross multiply
    32,564.70x = 48,825.15 × 12,833.10
  4. Step 4: Simplify right side
    32,564.70x = 626,578,032.47
  5. Step 5: Solve for x
    x = 626,578,032.47/32,564.70
  6. Step 6: Final answer
    x = 19,241.02

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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.