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Finding the Fourth Proportional to 78,138.53, 107,831.67 and 42,328.51

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Solution

The fourth proportional to 78,138.53, 107,831.67 and 42,328.51 is: 58,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,138.53 : 107,831.67 = 42,328.51 : x
  2. Step 2: Convert to fraction form
    78,138.53/107,831.67 = 42,328.51/x
  3. Step 3: Cross multiply
    78,138.53x = 107,831.67 × 42,328.51
  4. Step 4: Simplify right side
    78,138.53x = 4,564,354,338.25
  5. Step 5: Solve for x
    x = 4,564,354,338.25/78,138.53
  6. Step 6: Final answer
    x = 58,413.62

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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.