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Finding the Fourth Proportional to 32,752.54, 45,196.53 and 19,328

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Solution

The fourth proportional to 32,752.54, 45,196.53 and 19,328 is: 26,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,752.54 : 45,196.53 = 19,328 : x
  2. Step 2: Convert to fraction form
    32,752.54/45,196.53 = 19,328/x
  3. Step 3: Cross multiply
    32,752.54x = 45,196.53 × 19,328
  4. Step 4: Simplify right side
    32,752.54x = 873,558,531.84
  5. Step 5: Solve for x
    x = 873,558,531.84/32,752.54
  6. Step 6: Final answer
    x = 26,671.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.