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Finding the Fourth Proportional to 124,907.50, 187,347.48 and 31,413.25

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Solution

The fourth proportional to 124,907.50, 187,347.48 and 31,413.25 is: 47,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,907.50 : 187,347.48 = 31,413.25 : x
  2. Step 2: Convert to fraction form
    124,907.50/187,347.48 = 31,413.25/x
  3. Step 3: Cross multiply
    124,907.50x = 187,347.48 × 31,413.25
  4. Step 4: Simplify right side
    124,907.50x = 5,885,193,226.11
  5. Step 5: Solve for x
    x = 5,885,193,226.11/124,907.50
  6. Step 6: Final answer
    x = 47,116.41

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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.