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Finding the Fourth Proportional to 38,807.28, 53,589 and 24,492.45

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Solution

The fourth proportional to 38,807.28, 53,589 and 24,492.45 is: 33,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,807.28 : 53,589 = 24,492.45 : x
  2. Step 2: Convert to fraction form
    38,807.28/53,589 = 24,492.45/x
  3. Step 3: Cross multiply
    38,807.28x = 53,589 × 24,492.45
  4. Step 4: Simplify right side
    38,807.28x = 1,312,525,903.05
  5. Step 5: Solve for x
    x = 1,312,525,903.05/38,807.28
  6. Step 6: Final answer
    x = 33,821.64

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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.