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Finding the Fourth Proportional to 71,646.95, 107,470.29 and 19,056.49

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Solution

The fourth proportional to 71,646.95, 107,470.29 and 19,056.49 is: 28,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,646.95 : 107,470.29 = 19,056.49 : x
  2. Step 2: Convert to fraction form
    71,646.95/107,470.29 = 19,056.49/x
  3. Step 3: Cross multiply
    71,646.95x = 107,470.29 × 19,056.49
  4. Step 4: Simplify right side
    71,646.95x = 2,048,006,506.68
  5. Step 5: Solve for x
    x = 2,048,006,506.68/71,646.95
  6. Step 6: Final answer
    x = 28,584.70

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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.