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Finding the Fourth Proportional to 32,571.84, 48,784.32 and 15,015.36

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Solution

The fourth proportional to 32,571.84, 48,784.32 and 15,015.36 is: 22,489.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,571.84 : 48,784.32 = 15,015.36 : x
  2. Step 2: Convert to fraction form
    32,571.84/48,784.32 = 15,015.36/x
  3. Step 3: Cross multiply
    32,571.84x = 48,784.32 × 15,015.36
  4. Step 4: Simplify right side
    32,571.84x = 732,514,127.16
  5. Step 5: Solve for x
    x = 732,514,127.16/32,571.84
  6. Step 6: Final answer
    x = 22,489.18

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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.