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Finding the Fourth Proportional to 35,890.52, 53,835.78 and 16,146

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Solution

The fourth proportional to 35,890.52, 53,835.78 and 16,146 is: 24,219.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,890.52 : 53,835.78 = 16,146 : x
  2. Step 2: Convert to fraction form
    35,890.52/53,835.78 = 16,146/x
  3. Step 3: Cross multiply
    35,890.52x = 53,835.78 × 16,146
  4. Step 4: Simplify right side
    35,890.52x = 869,232,503.88
  5. Step 5: Solve for x
    x = 869,232,503.88/35,890.52
  6. Step 6: Final answer
    x = 24,219.00

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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.