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Finding the Fourth Proportional to 30,044.99, 45,077.85 and 13,416.50

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Solution

The fourth proportional to 30,044.99, 45,077.85 and 13,416.50 is: 20,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,044.99 : 45,077.85 = 13,416.50 : x
  2. Step 2: Convert to fraction form
    30,044.99/45,077.85 = 13,416.50/x
  3. Step 3: Cross multiply
    30,044.99x = 45,077.85 × 13,416.50
  4. Step 4: Simplify right side
    30,044.99x = 604,787,087.22
  5. Step 5: Solve for x
    x = 604,787,087.22/30,044.99
  6. Step 6: Final answer
    x = 20,129.38

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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.