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Finding the Fourth Proportional to 56,701.01, 78,242.81 and 32,829.20

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Solution

The fourth proportional to 56,701.01, 78,242.81 and 32,829.20 is: 45,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,701.01 : 78,242.81 = 32,829.20 : x
  2. Step 2: Convert to fraction form
    56,701.01/78,242.81 = 32,829.20/x
  3. Step 3: Cross multiply
    56,701.01x = 78,242.81 × 32,829.20
  4. Step 4: Simplify right side
    56,701.01x = 2,568,648,780.77
  5. Step 5: Solve for x
    x = 2,568,648,780.77/56,701.01
  6. Step 6: Final answer
    x = 45,301.64

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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.