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Finding the Fourth Proportional to 99,873.40, 149,831.70 and 33,302.20

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Solution

The fourth proportional to 99,873.40, 149,831.70 and 33,302.20 is: 49,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,873.40 : 149,831.70 = 33,302.20 : x
  2. Step 2: Convert to fraction form
    99,873.40/149,831.70 = 33,302.20/x
  3. Step 3: Cross multiply
    99,873.40x = 149,831.70 × 33,302.20
  4. Step 4: Simplify right side
    99,873.40x = 4,989,725,239.74
  5. Step 5: Solve for x
    x = 4,989,725,239.74/99,873.40
  6. Step 6: Final answer
    x = 49,960.50

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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.