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Finding the Fourth Proportional to 30,146.16, 45,219.57 and 14,352.66

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Solution

The fourth proportional to 30,146.16, 45,219.57 and 14,352.66 is: 21,529.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146.16 : 45,219.57 = 14,352.66 : x
  2. Step 2: Convert to fraction form
    30,146.16/45,219.57 = 14,352.66/x
  3. Step 3: Cross multiply
    30,146.16x = 45,219.57 × 14,352.66
  4. Step 4: Simplify right side
    30,146.16x = 649,021,113.56
  5. Step 5: Solve for x
    x = 649,021,113.56/30,146.16
  6. Step 6: Final answer
    x = 21,529.15

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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.