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Finding the Fourth Proportional to 48,476.46, 72,684.95 and 18,859.82

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Solution

The fourth proportional to 48,476.46, 72,684.95 and 18,859.82 is: 28,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,476.46 : 72,684.95 = 18,859.82 : x
  2. Step 2: Convert to fraction form
    48,476.46/72,684.95 = 18,859.82/x
  3. Step 3: Cross multiply
    48,476.46x = 72,684.95 × 18,859.82
  4. Step 4: Simplify right side
    48,476.46x = 1,370,825,073.71
  5. Step 5: Solve for x
    x = 1,370,825,073.71/48,476.46
  6. Step 6: Final answer
    x = 28,278.16

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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.