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Finding the Fourth Proportional to 35,234, 52,813.76 and 13,033.12

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Solution

The fourth proportional to 35,234, 52,813.76 and 13,033.12 is: 19,535.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,234 : 52,813.76 = 13,033.12 : x
  2. Step 2: Convert to fraction form
    35,234/52,813.76 = 13,033.12/x
  3. Step 3: Cross multiply
    35,234x = 52,813.76 × 13,033.12
  4. Step 4: Simplify right side
    35,234x = 688,328,071.73
  5. Step 5: Solve for x
    x = 688,328,071.73/35,234
  6. Step 6: Final answer
    x = 19,535.90

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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.