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Finding the Fourth Proportional to 35,005, 52,531.82 and 14,228.52

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Solution

The fourth proportional to 35,005, 52,531.82 and 14,228.52 is: 21,352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,005 : 52,531.82 = 14,228.52 : x
  2. Step 2: Convert to fraction form
    35,005/52,531.82 = 14,228.52/x
  3. Step 3: Cross multiply
    35,005x = 52,531.82 × 14,228.52
  4. Step 4: Simplify right side
    35,005x = 747,450,051.51
  5. Step 5: Solve for x
    x = 747,450,051.51/35,005
  6. Step 6: Final answer
    x = 21,352.67

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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.