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Finding the Fourth Proportional to 35,421.10, 53,146 and 13,240.82

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Solution

The fourth proportional to 35,421.10, 53,146 and 13,240.82 is: 19,866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,421.10 : 53,146 = 13,240.82 : x
  2. Step 2: Convert to fraction form
    35,421.10/53,146 = 13,240.82/x
  3. Step 3: Cross multiply
    35,421.10x = 53,146 × 13,240.82
  4. Step 4: Simplify right side
    35,421.10x = 703,696,619.72
  5. Step 5: Solve for x
    x = 703,696,619.72/35,421.10
  6. Step 6: Final answer
    x = 19,866.59

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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.