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Finding the Fourth Proportional to 30,875, 42,597.60 and 18,932.36

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Solution

The fourth proportional to 30,875, 42,597.60 and 18,932.36 is: 26,120.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,875 : 42,597.60 = 18,932.36 : x
  2. Step 2: Convert to fraction form
    30,875/42,597.60 = 18,932.36/x
  3. Step 3: Cross multiply
    30,875x = 42,597.60 × 18,932.36
  4. Step 4: Simplify right side
    30,875x = 806,473,098.34
  5. Step 5: Solve for x
    x = 806,473,098.34/30,875
  6. Step 6: Final answer
    x = 26,120.59

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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.