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Finding the Fourth Proportional to 38,709.48, 53,410.50 and 24,580.20

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Solution

The fourth proportional to 38,709.48, 53,410.50 and 24,580.20 is: 33,915.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,709.48 : 53,410.50 = 24,580.20 : x
  2. Step 2: Convert to fraction form
    38,709.48/53,410.50 = 24,580.20/x
  3. Step 3: Cross multiply
    38,709.48x = 53,410.50 × 24,580.20
  4. Step 4: Simplify right side
    38,709.48x = 1,312,840,772.10
  5. Step 5: Solve for x
    x = 1,312,840,772.10/38,709.48
  6. Step 6: Final answer
    x = 33,915.23

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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.