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Finding the Fourth Proportional to 43,057.42, 59,421 and 24,194.50

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Solution

The fourth proportional to 43,057.42, 59,421 and 24,194.50 is: 33,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,057.42 : 59,421 = 24,194.50 : x
  2. Step 2: Convert to fraction form
    43,057.42/59,421 = 24,194.50/x
  3. Step 3: Cross multiply
    43,057.42x = 59,421 × 24,194.50
  4. Step 4: Simplify right side
    43,057.42x = 1,437,661,384.50
  5. Step 5: Solve for x
    x = 1,437,661,384.50/43,057.42
  6. Step 6: Final answer
    x = 33,389.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.