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Finding the Fourth Proportional to 32,932.80, 49,399.20 and 32,714.10

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Solution

The fourth proportional to 32,932.80, 49,399.20 and 32,714.10 is: 49,071.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,932.80 : 49,399.20 = 32,714.10 : x
  2. Step 2: Convert to fraction form
    32,932.80/49,399.20 = 32,714.10/x
  3. Step 3: Cross multiply
    32,932.80x = 49,399.20 × 32,714.10
  4. Step 4: Simplify right side
    32,932.80x = 1,616,050,368.72
  5. Step 5: Solve for x
    x = 1,616,050,368.72/32,932.80
  6. Step 6: Final answer
    x = 49,071.15

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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.