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Finding the Fourth Proportional to 32,241.51, 48,358.62 and 10,053

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Solution

The fourth proportional to 32,241.51, 48,358.62 and 10,053 is: 15,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,241.51 : 48,358.62 = 10,053 : x
  2. Step 2: Convert to fraction form
    32,241.51/48,358.62 = 10,053/x
  3. Step 3: Cross multiply
    32,241.51x = 48,358.62 × 10,053
  4. Step 4: Simplify right side
    32,241.51x = 486,149,206.86
  5. Step 5: Solve for x
    x = 486,149,206.86/32,241.51
  6. Step 6: Final answer
    x = 15,078.36

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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.