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Finding the Fourth Proportional to 32,057.01, 48,086.19 and 9,870.57

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Solution

The fourth proportional to 32,057.01, 48,086.19 and 9,870.57 is: 14,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,057.01 : 48,086.19 = 9,870.57 : x
  2. Step 2: Convert to fraction form
    32,057.01/48,086.19 = 9,870.57/x
  3. Step 3: Cross multiply
    32,057.01x = 48,086.19 × 9,870.57
  4. Step 4: Simplify right side
    32,057.01x = 474,638,104.43
  5. Step 5: Solve for x
    x = 474,638,104.43/32,057.01
  6. Step 6: Final answer
    x = 14,806.06

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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.