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Finding the Fourth Proportional to 34,509.11, 51,733.03 and 13,444.28

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Solution

The fourth proportional to 34,509.11, 51,733.03 and 13,444.28 is: 20,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,509.11 : 51,733.03 = 13,444.28 : x
  2. Step 2: Convert to fraction form
    34,509.11/51,733.03 = 13,444.28/x
  3. Step 3: Cross multiply
    34,509.11x = 51,733.03 × 13,444.28
  4. Step 4: Simplify right side
    34,509.11x = 695,513,267.50
  5. Step 5: Solve for x
    x = 695,513,267.50/34,509.11
  6. Step 6: Final answer
    x = 20,154.48

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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.