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Finding the Fourth Proportional to 30,187.72, 45,270.38 and 10,461

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Solution

The fourth proportional to 30,187.72, 45,270.38 and 10,461 is: 15,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,187.72 : 45,270.38 = 10,461 : x
  2. Step 2: Convert to fraction form
    30,187.72/45,270.38 = 10,461/x
  3. Step 3: Cross multiply
    30,187.72x = 45,270.38 × 10,461
  4. Step 4: Simplify right side
    30,187.72x = 473,573,445.18
  5. Step 5: Solve for x
    x = 473,573,445.18/30,187.72
  6. Step 6: Final answer
    x = 15,687.62

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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.