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Finding the Fourth Proportional to 32,463.72, 48,702.87 and 10,275.39

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Solution

The fourth proportional to 32,463.72, 48,702.87 and 10,275.39 is: 15,415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,463.72 : 48,702.87 = 10,275.39 : x
  2. Step 2: Convert to fraction form
    32,463.72/48,702.87 = 10,275.39/x
  3. Step 3: Cross multiply
    32,463.72x = 48,702.87 × 10,275.39
  4. Step 4: Simplify right side
    32,463.72x = 500,440,983.37
  5. Step 5: Solve for x
    x = 500,440,983.37/32,463.72
  6. Step 6: Final answer
    x = 15,415.39

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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.