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Finding the Fourth Proportional to 25,558.50, 38,337.76 and 7,090.50

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Solution

The fourth proportional to 25,558.50, 38,337.76 and 7,090.50 is: 10,635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,558.50 : 38,337.76 = 7,090.50 : x
  2. Step 2: Convert to fraction form
    25,558.50/38,337.76 = 7,090.50/x
  3. Step 3: Cross multiply
    25,558.50x = 38,337.76 × 7,090.50
  4. Step 4: Simplify right side
    25,558.50x = 271,833,887.28
  5. Step 5: Solve for x
    x = 271,833,887.28/25,558.50
  6. Step 6: Final answer
    x = 10,635.75

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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.