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Finding the Fourth Proportional to 47,831.04, 71,784 and 33,143.04

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Solution

The fourth proportional to 47,831.04, 71,784 and 33,143.04 is: 49,740.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,831.04 : 71,784 = 33,143.04 : x
  2. Step 2: Convert to fraction form
    47,831.04/71,784 = 33,143.04/x
  3. Step 3: Cross multiply
    47,831.04x = 71,784 × 33,143.04
  4. Step 4: Simplify right side
    47,831.04x = 2,379,139,983.36
  5. Step 5: Solve for x
    x = 2,379,139,983.36/47,831.04
  6. Step 6: Final answer
    x = 49,740.50

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1.5x scale

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.