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Finding the Fourth Proportional to 34,892.48, 52,330.80 and 9,932

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Solution

The fourth proportional to 34,892.48, 52,330.80 and 9,932 is: 14,895.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,892.48 : 52,330.80 = 9,932 : x
  2. Step 2: Convert to fraction form
    34,892.48/52,330.80 = 9,932/x
  3. Step 3: Cross multiply
    34,892.48x = 52,330.80 × 9,932
  4. Step 4: Simplify right side
    34,892.48x = 519,749,505.60
  5. Step 5: Solve for x
    x = 519,749,505.60/34,892.48
  6. Step 6: Final answer
    x = 14,895.75

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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.