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Finding the Fourth Proportional to 27,328.40, 37,699.84 and 23,545

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Solution

The fourth proportional to 27,328.40, 37,699.84 and 23,545 is: 32,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,328.40 : 37,699.84 = 23,545 : x
  2. Step 2: Convert to fraction form
    27,328.40/37,699.84 = 23,545/x
  3. Step 3: Cross multiply
    27,328.40x = 37,699.84 × 23,545
  4. Step 4: Simplify right side
    27,328.40x = 887,642,732.80
  5. Step 5: Solve for x
    x = 887,642,732.80/27,328.40
  6. Step 6: Final answer
    x = 32,480.60

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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.