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Finding the Fourth Proportional to 70,831.76, 97,725.89 and 40,199.93

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Solution

The fourth proportional to 70,831.76, 97,725.89 and 40,199.93 is: 55,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,831.76 : 97,725.89 = 40,199.93 : x
  2. Step 2: Convert to fraction form
    70,831.76/97,725.89 = 40,199.93/x
  3. Step 3: Cross multiply
    70,831.76x = 97,725.89 × 40,199.93
  4. Step 4: Simplify right side
    70,831.76x = 3,928,573,247.56
  5. Step 5: Solve for x
    x = 3,928,573,247.56/70,831.76
  6. Step 6: Final answer
    x = 55,463.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.