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Finding the Fourth Proportional to 30,041.50, 45,089.33 and 16,013.21

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Solution

The fourth proportional to 30,041.50, 45,089.33 and 16,013.21 is: 24,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,041.50 : 45,089.33 = 16,013.21 : x
  2. Step 2: Convert to fraction form
    30,041.50/45,089.33 = 16,013.21/x
  3. Step 3: Cross multiply
    30,041.50x = 45,089.33 × 16,013.21
  4. Step 4: Simplify right side
    30,041.50x = 722,024,950.08
  5. Step 5: Solve for x
    x = 722,024,950.08/30,041.50
  6. Step 6: Final answer
    x = 24,034.25

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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.