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Finding the Fourth Proportional to 30,949.68, 42,710.32 and 16,802.56

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Solution

The fourth proportional to 30,949.68, 42,710.32 and 16,802.56 is: 23,187.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,949.68 : 42,710.32 = 16,802.56 : x
  2. Step 2: Convert to fraction form
    30,949.68/42,710.32 = 16,802.56/x
  3. Step 3: Cross multiply
    30,949.68x = 42,710.32 × 16,802.56
  4. Step 4: Simplify right side
    30,949.68x = 717,642,714.42
  5. Step 5: Solve for x
    x = 717,642,714.42/30,949.68
  6. Step 6: Final answer
    x = 23,187.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.