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Finding the Fourth Proportional to 30,211.86, 45,346.62 and 18,547.86

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Solution

The fourth proportional to 30,211.86, 45,346.62 and 18,547.86 is: 27,839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211.86 : 45,346.62 = 18,547.86 : x
  2. Step 2: Convert to fraction form
    30,211.86/45,346.62 = 18,547.86/x
  3. Step 3: Cross multiply
    30,211.86x = 45,346.62 × 18,547.86
  4. Step 4: Simplify right side
    30,211.86x = 841,082,759.23
  5. Step 5: Solve for x
    x = 841,082,759.23/30,211.86
  6. Step 6: Final answer
    x = 27,839.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.