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Finding the Fourth Proportional to 35,029, 52,543.52 and 10,405

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Solution

The fourth proportional to 35,029, 52,543.52 and 10,405 is: 15,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,029 : 52,543.52 = 10,405 : x
  2. Step 2: Convert to fraction form
    35,029/52,543.52 = 10,405/x
  3. Step 3: Cross multiply
    35,029x = 52,543.52 × 10,405
  4. Step 4: Simplify right side
    35,029x = 546,715,325.60
  5. Step 5: Solve for x
    x = 546,715,325.60/35,029
  6. Step 6: Final answer
    x = 15,607.51

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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.