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Finding the Fourth Proportional to 32,007.70, 48,015.15 and 9,820.90

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Solution

The fourth proportional to 32,007.70, 48,015.15 and 9,820.90 is: 14,732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.70 : 48,015.15 = 9,820.90 : x
  2. Step 2: Convert to fraction form
    32,007.70/48,015.15 = 9,820.90/x
  3. Step 3: Cross multiply
    32,007.70x = 48,015.15 × 9,820.90
  4. Step 4: Simplify right side
    32,007.70x = 471,551,986.64
  5. Step 5: Solve for x
    x = 471,551,986.64/32,007.70
  6. Step 6: Final answer
    x = 14,732.45

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1.5x scale

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.