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Finding the Fourth Proportional to 32,761, 45,210.20 and 17,857

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Solution

The fourth proportional to 32,761, 45,210.20 and 17,857 is: 24,642.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,761 : 45,210.20 = 17,857 : x
  2. Step 2: Convert to fraction form
    32,761/45,210.20 = 17,857/x
  3. Step 3: Cross multiply
    32,761x = 45,210.20 × 17,857
  4. Step 4: Simplify right side
    32,761x = 807,318,541.40
  5. Step 5: Solve for x
    x = 807,318,541.40/32,761
  6. Step 6: Final answer
    x = 24,642.67

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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.