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Finding the Fourth Proportional to 34,787.54, 52,188.86 and 11,413.10

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Solution

The fourth proportional to 34,787.54, 52,188.86 and 11,413.10 is: 17,122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,787.54 : 52,188.86 = 11,413.10 : x
  2. Step 2: Convert to fraction form
    34,787.54/52,188.86 = 11,413.10/x
  3. Step 3: Cross multiply
    34,787.54x = 52,188.86 × 11,413.10
  4. Step 4: Simplify right side
    34,787.54x = 595,636,417.12
  5. Step 5: Solve for x
    x = 595,636,417.12/34,787.54
  6. Step 6: Final answer
    x = 17,122.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.