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Finding the Fourth Proportional to 99,576.05, 137,413.19 and 54,254.34

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Solution

The fourth proportional to 99,576.05, 137,413.19 and 54,254.34 is: 74,870.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,576.05 : 137,413.19 = 54,254.34 : x
  2. Step 2: Convert to fraction form
    99,576.05/137,413.19 = 54,254.34/x
  3. Step 3: Cross multiply
    99,576.05x = 137,413.19 × 54,254.34
  4. Step 4: Simplify right side
    99,576.05x = 7,455,262,066.38
  5. Step 5: Solve for x
    x = 7,455,262,066.38/99,576.05
  6. Step 6: Final answer
    x = 74,870.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.