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Finding the Fourth Proportional to 35,710.68, 53,576.82 and 13,530.84

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Solution

The fourth proportional to 35,710.68, 53,576.82 and 13,530.84 is: 20,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,710.68 : 53,576.82 = 13,530.84 : x
  2. Step 2: Convert to fraction form
    35,710.68/53,576.82 = 13,530.84/x
  3. Step 3: Cross multiply
    35,710.68x = 53,576.82 × 13,530.84
  4. Step 4: Simplify right side
    35,710.68x = 724,939,379.13
  5. Step 5: Solve for x
    x = 724,939,379.13/35,710.68
  6. Step 6: Final answer
    x = 20,300.35

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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.