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Finding the Fourth Proportional to 96,413.60, 144,631.20 and 29,853.20

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Solution

The fourth proportional to 96,413.60, 144,631.20 and 29,853.20 is: 44,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,413.60 : 144,631.20 = 29,853.20 : x
  2. Step 2: Convert to fraction form
    96,413.60/144,631.20 = 29,853.20/x
  3. Step 3: Cross multiply
    96,413.60x = 144,631.20 × 29,853.20
  4. Step 4: Simplify right side
    96,413.60x = 4,317,704,139.84
  5. Step 5: Solve for x
    x = 4,317,704,139.84/96,413.60
  6. Step 6: Final answer
    x = 44,783.14

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1.5x scale

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.