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Finding the Fourth Proportional to 34,605.48, 51,902.34 and 9,648.02

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Solution

The fourth proportional to 34,605.48, 51,902.34 and 9,648.02 is: 14,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,605.48 : 51,902.34 = 9,648.02 : x
  2. Step 2: Convert to fraction form
    34,605.48/51,902.34 = 9,648.02/x
  3. Step 3: Cross multiply
    34,605.48x = 51,902.34 × 9,648.02
  4. Step 4: Simplify right side
    34,605.48x = 500,754,554.86
  5. Step 5: Solve for x
    x = 500,754,554.86/34,605.48
  6. Step 6: Final answer
    x = 14,470.38

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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.