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Finding the Fourth Proportional to 35,674.50, 53,511.75 and 14,898

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Solution

The fourth proportional to 35,674.50, 53,511.75 and 14,898 is: 22,347

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,674.50 : 53,511.75 = 14,898 : x
  2. Step 2: Convert to fraction form
    35,674.50/53,511.75 = 14,898/x
  3. Step 3: Cross multiply
    35,674.50x = 53,511.75 × 14,898
  4. Step 4: Simplify right side
    35,674.50x = 797,218,051.50
  5. Step 5: Solve for x
    x = 797,218,051.50/35,674.50
  6. Step 6: Final answer
    x = 22,347

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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.