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Finding the Fourth Proportional to 78,413.10, 117,624.16 and 22,248.81

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Solution

The fourth proportional to 78,413.10, 117,624.16 and 22,248.81 is: 33,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,413.10 : 117,624.16 = 22,248.81 : x
  2. Step 2: Convert to fraction form
    78,413.10/117,624.16 = 22,248.81/x
  3. Step 3: Cross multiply
    78,413.10x = 117,624.16 × 22,248.81
  4. Step 4: Simplify right side
    78,413.10x = 2,616,997,972.72
  5. Step 5: Solve for x
    x = 2,616,997,972.72/78,413.10
  6. Step 6: Final answer
    x = 33,374.50

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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.