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Finding the Fourth Proportional to 99,346.08, 149,019.43 and 24,468

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Solution

The fourth proportional to 99,346.08, 149,019.43 and 24,468 is: 36,702.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,346.08 : 149,019.43 = 24,468 : x
  2. Step 2: Convert to fraction form
    99,346.08/149,019.43 = 24,468/x
  3. Step 3: Cross multiply
    99,346.08x = 149,019.43 × 24,468
  4. Step 4: Simplify right side
    99,346.08x = 3,646,207,413.24
  5. Step 5: Solve for x
    x = 3,646,207,413.24/99,346.08
  6. Step 6: Final answer
    x = 36,702.08

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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.