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Finding the Fourth Proportional to 30,319.44, 45,472.68 and 9,538.32

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Solution

The fourth proportional to 30,319.44, 45,472.68 and 9,538.32 is: 14,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,319.44 : 45,472.68 = 9,538.32 : x
  2. Step 2: Convert to fraction form
    30,319.44/45,472.68 = 9,538.32/x
  3. Step 3: Cross multiply
    30,319.44x = 45,472.68 × 9,538.32
  4. Step 4: Simplify right side
    30,319.44x = 433,732,973.10
  5. Step 5: Solve for x
    x = 433,732,973.10/30,319.44
  6. Step 6: Final answer
    x = 14,305.44

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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.