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Finding the Fourth Proportional to 35,524, 53,301.12 and 13,334.14

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Solution

The fourth proportional to 35,524, 53,301.12 and 13,334.14 is: 20,006.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,524 : 53,301.12 = 13,334.14 : x
  2. Step 2: Convert to fraction form
    35,524/53,301.12 = 13,334.14/x
  3. Step 3: Cross multiply
    35,524x = 53,301.12 × 13,334.14
  4. Step 4: Simplify right side
    35,524x = 710,724,596.24
  5. Step 5: Solve for x
    x = 710,724,596.24/35,524
  6. Step 6: Final answer
    x = 20,006.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.