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Finding the Fourth Proportional to 105,953.40, 158,831.28 and 35,783.64

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Solution

The fourth proportional to 105,953.40, 158,831.28 and 35,783.64 is: 53,642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,953.40 : 158,831.28 = 35,783.64 : x
  2. Step 2: Convert to fraction form
    105,953.40/158,831.28 = 35,783.64/x
  3. Step 3: Cross multiply
    105,953.40x = 158,831.28 × 35,783.64
  4. Step 4: Simplify right side
    105,953.40x = 5,683,561,344.26
  5. Step 5: Solve for x
    x = 5,683,561,344.26/105,953.40
  6. Step 6: Final answer
    x = 53,642.09

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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.