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Finding the Fourth Proportional to 125,182.48, 187,771.98 and 30,413.32

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Solution

The fourth proportional to 125,182.48, 187,771.98 and 30,413.32 is: 45,619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,182.48 : 187,771.98 = 30,413.32 : x
  2. Step 2: Convert to fraction form
    125,182.48/187,771.98 = 30,413.32/x
  3. Step 3: Cross multiply
    125,182.48x = 187,771.98 × 30,413.32
  4. Step 4: Simplify right side
    125,182.48x = 5,710,769,314.77
  5. Step 5: Solve for x
    x = 5,710,769,314.77/125,182.48
  6. Step 6: Final answer
    x = 45,619.56

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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.