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Finding the Fourth Proportional to 39,470.02, 54,466.02 and 22,476

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Solution

The fourth proportional to 39,470.02, 54,466.02 and 22,476 is: 31,015.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,470.02 : 54,466.02 = 22,476 : x
  2. Step 2: Convert to fraction form
    39,470.02/54,466.02 = 22,476/x
  3. Step 3: Cross multiply
    39,470.02x = 54,466.02 × 22,476
  4. Step 4: Simplify right side
    39,470.02x = 1,224,178,265.52
  5. Step 5: Solve for x
    x = 1,224,178,265.52/39,470.02
  6. Step 6: Final answer
    x = 31,015.40

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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.