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Finding the Fourth Proportional to 32,980.97, 49,459.21 and 14,263.70

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Solution

The fourth proportional to 32,980.97, 49,459.21 and 14,263.70 is: 21,390.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980.97 : 49,459.21 = 14,263.70 : x
  2. Step 2: Convert to fraction form
    32,980.97/49,459.21 = 14,263.70/x
  3. Step 3: Cross multiply
    32,980.97x = 49,459.21 × 14,263.70
  4. Step 4: Simplify right side
    32,980.97x = 705,471,050.72
  5. Step 5: Solve for x
    x = 705,471,050.72/32,980.97
  6. Step 6: Final answer
    x = 21,390.24

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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.