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Finding the Fourth Proportional to 30,618.09, 45,927.33 and 8,430.96

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Solution

The fourth proportional to 30,618.09, 45,927.33 and 8,430.96 is: 12,646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,618.09 : 45,927.33 = 8,430.96 : x
  2. Step 2: Convert to fraction form
    30,618.09/45,927.33 = 8,430.96/x
  3. Step 3: Cross multiply
    30,618.09x = 45,927.33 × 8,430.96
  4. Step 4: Simplify right side
    30,618.09x = 387,211,482.14
  5. Step 5: Solve for x
    x = 387,211,482.14/30,618.09
  6. Step 6: Final answer
    x = 12,646.49

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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.