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Finding the Fourth Proportional to 32,747.83, 49,080.64 and 14,005.83

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Solution

The fourth proportional to 32,747.83, 49,080.64 and 14,005.83 is: 20,991.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,747.83 : 49,080.64 = 14,005.83 : x
  2. Step 2: Convert to fraction form
    32,747.83/49,080.64 = 14,005.83/x
  3. Step 3: Cross multiply
    32,747.83x = 49,080.64 × 14,005.83
  4. Step 4: Simplify right side
    32,747.83x = 687,415,038.74
  5. Step 5: Solve for x
    x = 687,415,038.74/32,747.83
  6. Step 6: Final answer
    x = 20,991.16

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1.5x scale

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.