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Finding the Fourth Proportional to 30,294.36, 45,446.70 and 10,301.76

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Solution

The fourth proportional to 30,294.36, 45,446.70 and 10,301.76 is: 15,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294.36 : 45,446.70 = 10,301.76 : x
  2. Step 2: Convert to fraction form
    30,294.36/45,446.70 = 10,301.76/x
  3. Step 3: Cross multiply
    30,294.36x = 45,446.70 × 10,301.76
  4. Step 4: Simplify right side
    30,294.36x = 468,180,996.19
  5. Step 5: Solve for x
    x = 468,180,996.19/30,294.36
  6. Step 6: Final answer
    x = 15,454.39

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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.