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Finding the Fourth Proportional to 105,567.66, 158,413.86 and 39,054.51

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Solution

The fourth proportional to 105,567.66, 158,413.86 and 39,054.51 is: 58,604.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,567.66 : 158,413.86 = 39,054.51 : x
  2. Step 2: Convert to fraction form
    105,567.66/158,413.86 = 39,054.51/x
  3. Step 3: Cross multiply
    105,567.66x = 158,413.86 × 39,054.51
  4. Step 4: Simplify right side
    105,567.66x = 6,186,775,679.51
  5. Step 5: Solve for x
    x = 6,186,775,679.51/105,567.66
  6. Step 6: Final answer
    x = 58,604.84

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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.