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Finding the Fourth Proportional to 30,510.38, 45,747.44 and 9,444.18

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Solution

The fourth proportional to 30,510.38, 45,747.44 and 9,444.18 is: 14,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,510.38 : 45,747.44 = 9,444.18 : x
  2. Step 2: Convert to fraction form
    30,510.38/45,747.44 = 9,444.18/x
  3. Step 3: Cross multiply
    30,510.38x = 45,747.44 × 9,444.18
  4. Step 4: Simplify right side
    30,510.38x = 432,047,057.90
  5. Step 5: Solve for x
    x = 432,047,057.90/30,510.38
  6. Step 6: Final answer
    x = 14,160.66

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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.