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Finding the Fourth Proportional to 32,709.60, 49,051.98 and 13,977.90

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Solution

The fourth proportional to 32,709.60, 49,051.98 and 13,977.90 is: 20,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,709.60 : 49,051.98 = 13,977.90 : x
  2. Step 2: Convert to fraction form
    32,709.60/49,051.98 = 13,977.90/x
  3. Step 3: Cross multiply
    32,709.60x = 49,051.98 × 13,977.90
  4. Step 4: Simplify right side
    32,709.60x = 685,643,671.24
  5. Step 5: Solve for x
    x = 685,643,671.24/32,709.60
  6. Step 6: Final answer
    x = 20,961.54

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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.