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Finding the Fourth Proportional to 30,508.63, 45,763.75 and 9,732.13

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Solution

The fourth proportional to 30,508.63, 45,763.75 and 9,732.13 is: 14,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,508.63 : 45,763.75 = 9,732.13 : x
  2. Step 2: Convert to fraction form
    30,508.63/45,763.75 = 9,732.13/x
  3. Step 3: Cross multiply
    30,508.63x = 45,763.75 × 9,732.13
  4. Step 4: Simplify right side
    30,508.63x = 445,378,764.29
  5. Step 5: Solve for x
    x = 445,378,764.29/30,508.63
  6. Step 6: Final answer
    x = 14,598.45

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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.