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Finding the Fourth Proportional to 32,674.72, 45,075.54 and 23,702.56

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Solution

The fourth proportional to 32,674.72, 45,075.54 and 23,702.56 is: 32,698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,674.72 : 45,075.54 = 23,702.56 : x
  2. Step 2: Convert to fraction form
    32,674.72/45,075.54 = 23,702.56/x
  3. Step 3: Cross multiply
    32,674.72x = 45,075.54 × 23,702.56
  4. Step 4: Simplify right side
    32,674.72x = 1,068,405,691.38
  5. Step 5: Solve for x
    x = 1,068,405,691.38/32,674.72
  6. Step 6: Final answer
    x = 32,698.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.