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Finding the Fourth Proportional to 32,964, 45,492.24 and 18,821.28

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Solution

The fourth proportional to 32,964, 45,492.24 and 18,821.28 is: 25,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964 : 45,492.24 = 18,821.28 : x
  2. Step 2: Convert to fraction form
    32,964/45,492.24 = 18,821.28/x
  3. Step 3: Cross multiply
    32,964x = 45,492.24 × 18,821.28
  4. Step 4: Simplify right side
    32,964x = 856,222,186.87
  5. Step 5: Solve for x
    x = 856,222,186.87/32,964
  6. Step 6: Final answer
    x = 25,974.46

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1.5x scale

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.