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Finding the Fourth Proportional to 30,816.39, 42,552.53 and 19,505.83

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Solution

The fourth proportional to 30,816.39, 42,552.53 and 19,505.83 is: 26,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,816.39 : 42,552.53 = 19,505.83 : x
  2. Step 2: Convert to fraction form
    30,816.39/42,552.53 = 19,505.83/x
  3. Step 3: Cross multiply
    30,816.39x = 42,552.53 × 19,505.83
  4. Step 4: Simplify right side
    30,816.39x = 830,022,416.25
  5. Step 5: Solve for x
    x = 830,022,416.25/30,816.39
  6. Step 6: Final answer
    x = 26,934.45

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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.