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Finding the Fourth Proportional to 36,041.70, 54,070.98 and 12,349.50

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Solution

The fourth proportional to 36,041.70, 54,070.98 and 12,349.50 is: 18,527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,041.70 : 54,070.98 = 12,349.50 : x
  2. Step 2: Convert to fraction form
    36,041.70/54,070.98 = 12,349.50/x
  3. Step 3: Cross multiply
    36,041.70x = 54,070.98 × 12,349.50
  4. Step 4: Simplify right side
    36,041.70x = 667,749,567.51
  5. Step 5: Solve for x
    x = 667,749,567.51/36,041.70
  6. Step 6: Final answer
    x = 18,527.14

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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.