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Finding the Fourth Proportional to 99,020.88, 148,570.22 and 43,578

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Solution

The fourth proportional to 99,020.88, 148,570.22 and 43,578 is: 65,384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,020.88 : 148,570.22 = 43,578 : x
  2. Step 2: Convert to fraction form
    99,020.88/148,570.22 = 43,578/x
  3. Step 3: Cross multiply
    99,020.88x = 148,570.22 × 43,578
  4. Step 4: Simplify right side
    99,020.88x = 6,474,393,047.16
  5. Step 5: Solve for x
    x = 6,474,393,047.16/99,020.88
  6. Step 6: Final answer
    x = 65,384.12

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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.