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Finding the Fourth Proportional to 35,907, 53,861.46 and 12,214.50

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Solution

The fourth proportional to 35,907, 53,861.46 and 12,214.50 is: 18,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,907 : 53,861.46 = 12,214.50 : x
  2. Step 2: Convert to fraction form
    35,907/53,861.46 = 12,214.50/x
  3. Step 3: Cross multiply
    35,907x = 53,861.46 × 12,214.50
  4. Step 4: Simplify right side
    35,907x = 657,890,803.17
  5. Step 5: Solve for x
    x = 657,890,803.17/35,907
  6. Step 6: Final answer
    x = 18,322.08

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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.