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Finding the Fourth Proportional to 35,236, 52,816.76 and 13,035.12

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Solution

The fourth proportional to 35,236, 52,816.76 and 13,035.12 is: 19,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,236 : 52,816.76 = 13,035.12 : x
  2. Step 2: Convert to fraction form
    35,236/52,816.76 = 13,035.12/x
  3. Step 3: Cross multiply
    35,236x = 52,816.76 × 13,035.12
  4. Step 4: Simplify right side
    35,236x = 688,472,804.61
  5. Step 5: Solve for x
    x = 688,472,804.61/35,236
  6. Step 6: Final answer
    x = 19,538.90

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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.