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Finding the Fourth Proportional to 52,382.28, 72,289.32 and 28,509.82

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Solution

The fourth proportional to 52,382.28, 72,289.32 and 28,509.82 is: 39,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,382.28 : 72,289.32 = 28,509.82 : x
  2. Step 2: Convert to fraction form
    52,382.28/72,289.32 = 28,509.82/x
  3. Step 3: Cross multiply
    52,382.28x = 72,289.32 × 28,509.82
  4. Step 4: Simplify right side
    52,382.28x = 2,060,955,501.12
  5. Step 5: Solve for x
    x = 2,060,955,501.12/52,382.28
  6. Step 6: Final answer
    x = 39,344.52

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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.