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Finding the Fourth Proportional to 35,122.59, 52,683.09 and 9,821.43

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Solution

The fourth proportional to 35,122.59, 52,683.09 and 9,821.43 is: 14,731.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,122.59 : 52,683.09 = 9,821.43 : x
  2. Step 2: Convert to fraction form
    35,122.59/52,683.09 = 9,821.43/x
  3. Step 3: Cross multiply
    35,122.59x = 52,683.09 × 9,821.43
  4. Step 4: Simplify right side
    35,122.59x = 517,423,280.62
  5. Step 5: Solve for x
    x = 517,423,280.62/35,122.59
  6. Step 6: Final answer
    x = 14,731.92

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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.