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Finding the Fourth Proportional to 35,420.58, 53,140.01 and 13,234.14

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Solution

The fourth proportional to 35,420.58, 53,140.01 and 13,234.14 is: 19,854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,420.58 : 53,140.01 = 13,234.14 : x
  2. Step 2: Convert to fraction form
    35,420.58/53,140.01 = 13,234.14/x
  3. Step 3: Cross multiply
    35,420.58x = 53,140.01 × 13,234.14
  4. Step 4: Simplify right side
    35,420.58x = 703,262,265.77
  5. Step 5: Solve for x
    x = 703,262,265.77/35,420.58
  6. Step 6: Final answer
    x = 19,854.62

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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.