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Finding the Fourth Proportional to 20,624, 30,935.88 and 5,041.52

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Solution

The fourth proportional to 20,624, 30,935.88 and 5,041.52 is: 7,562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,624 : 30,935.88 = 5,041.52 : x
  2. Step 2: Convert to fraction form
    20,624/30,935.88 = 5,041.52/x
  3. Step 3: Cross multiply
    20,624x = 30,935.88 × 5,041.52
  4. Step 4: Simplify right side
    20,624x = 155,963,857.74
  5. Step 5: Solve for x
    x = 155,963,857.74/20,624
  6. Step 6: Final answer
    x = 7,562.25

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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.