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Finding the Fourth Proportional to 35,022, 52,532.88 and 8,726.76

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Solution

The fourth proportional to 35,022, 52,532.88 and 8,726.76 is: 13,090.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,022 : 52,532.88 = 8,726.76 : x
  2. Step 2: Convert to fraction form
    35,022/52,532.88 = 8,726.76/x
  3. Step 3: Cross multiply
    35,022x = 52,532.88 × 8,726.76
  4. Step 4: Simplify right side
    35,022x = 458,441,835.87
  5. Step 5: Solve for x
    x = 458,441,835.87/35,022
  6. Step 6: Final answer
    x = 13,090.11

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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.