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Finding the Fourth Proportional to 30,511.38, 45,748.94 and 9,445.18

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Solution

The fourth proportional to 30,511.38, 45,748.94 and 9,445.18 is: 14,162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511.38 : 45,748.94 = 9,445.18 : x
  2. Step 2: Convert to fraction form
    30,511.38/45,748.94 = 9,445.18/x
  3. Step 3: Cross multiply
    30,511.38x = 45,748.94 × 9,445.18
  4. Step 4: Simplify right side
    30,511.38x = 432,106,973.11
  5. Step 5: Solve for x
    x = 432,106,973.11/30,511.38
  6. Step 6: Final answer
    x = 14,162.16

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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.