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Finding the Fourth Proportional to 32,386.44, 48,582.87 and 9,012.87

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Solution

The fourth proportional to 32,386.44, 48,582.87 and 9,012.87 is: 13,520.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,386.44 : 48,582.87 = 9,012.87 : x
  2. Step 2: Convert to fraction form
    32,386.44/48,582.87 = 9,012.87/x
  3. Step 3: Cross multiply
    32,386.44x = 48,582.87 × 9,012.87
  4. Step 4: Simplify right side
    32,386.44x = 437,871,091.54
  5. Step 5: Solve for x
    x = 437,871,091.54/32,386.44
  6. Step 6: Final answer
    x = 13,520.20

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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.