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Finding the Fourth Proportional to 30,840.67, 42,561.16 and 18,901.70

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Solution

The fourth proportional to 30,840.67, 42,561.16 and 18,901.70 is: 26,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,840.67 : 42,561.16 = 18,901.70 : x
  2. Step 2: Convert to fraction form
    30,840.67/42,561.16 = 18,901.70/x
  3. Step 3: Cross multiply
    30,840.67x = 42,561.16 × 18,901.70
  4. Step 4: Simplify right side
    30,840.67x = 804,478,277.97
  5. Step 5: Solve for x
    x = 804,478,277.97/30,840.67
  6. Step 6: Final answer
    x = 26,084.98

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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.