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Finding the Fourth Proportional to 32,964, 45,490.32 and 19,716

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Solution

The fourth proportional to 32,964, 45,490.32 and 19,716 is: 27,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964 : 45,490.32 = 19,716 : x
  2. Step 2: Convert to fraction form
    32,964/45,490.32 = 19,716/x
  3. Step 3: Cross multiply
    32,964x = 45,490.32 × 19,716
  4. Step 4: Simplify right side
    32,964x = 896,887,149.12
  5. Step 5: Solve for x
    x = 896,887,149.12/32,964
  6. Step 6: Final answer
    x = 27,208.08

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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.