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Finding the Fourth Proportional to 32,476.52, 48,720.70 and 10,295.48

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Solution

The fourth proportional to 32,476.52, 48,720.70 and 10,295.48 is: 15,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,476.52 : 48,720.70 = 10,295.48 : x
  2. Step 2: Convert to fraction form
    32,476.52/48,720.70 = 10,295.48/x
  3. Step 3: Cross multiply
    32,476.52x = 48,720.70 × 10,295.48
  4. Step 4: Simplify right side
    32,476.52x = 501,602,992.44
  5. Step 5: Solve for x
    x = 501,602,992.44/32,476.52
  6. Step 6: Final answer
    x = 15,445.10

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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.