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Finding the Fourth Proportional to 35,246.64, 52,866.12 and 14,470.20

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Solution

The fourth proportional to 35,246.64, 52,866.12 and 14,470.20 is: 21,703.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,246.64 : 52,866.12 = 14,470.20 : x
  2. Step 2: Convert to fraction form
    35,246.64/52,866.12 = 14,470.20/x
  3. Step 3: Cross multiply
    35,246.64x = 52,866.12 × 14,470.20
  4. Step 4: Simplify right side
    35,246.64x = 764,983,329.62
  5. Step 5: Solve for x
    x = 764,983,329.62/35,246.64
  6. Step 6: Final answer
    x = 21,703.72

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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.