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Finding the Fourth Proportional to 35,626.50, 53,439.84 and 14,850

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Solution

The fourth proportional to 35,626.50, 53,439.84 and 14,850 is: 22,275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,626.50 : 53,439.84 = 14,850 : x
  2. Step 2: Convert to fraction form
    35,626.50/53,439.84 = 14,850/x
  3. Step 3: Cross multiply
    35,626.50x = 53,439.84 × 14,850
  4. Step 4: Simplify right side
    35,626.50x = 793,581,624
  5. Step 5: Solve for x
    x = 793,581,624/35,626.50
  6. Step 6: Final answer
    x = 22,275.04

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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.