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Finding the Fourth Proportional to 35,880, 53,831.54 and 10,924.88

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Solution

The fourth proportional to 35,880, 53,831.54 and 10,924.88 is: 16,390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,880 : 53,831.54 = 10,924.88 : x
  2. Step 2: Convert to fraction form
    35,880/53,831.54 = 10,924.88/x
  3. Step 3: Cross multiply
    35,880x = 53,831.54 × 10,924.88
  4. Step 4: Simplify right side
    35,880x = 588,103,114.72
  5. Step 5: Solve for x
    x = 588,103,114.72/35,880
  6. Step 6: Final answer
    x = 16,390.83

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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.