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Finding the Fourth Proportional to 99,362.16, 149,041.92 and 24,483.20

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Solution

The fourth proportional to 99,362.16, 149,041.92 and 24,483.20 is: 36,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,362.16 : 149,041.92 = 24,483.20 : x
  2. Step 2: Convert to fraction form
    99,362.16/149,041.92 = 24,483.20/x
  3. Step 3: Cross multiply
    99,362.16x = 149,041.92 × 24,483.20
  4. Step 4: Simplify right side
    99,362.16x = 3,649,023,135.74
  5. Step 5: Solve for x
    x = 3,649,023,135.74/99,362.16
  6. Step 6: Final answer
    x = 36,724.47

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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.