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Finding the Fourth Proportional to 30,470.59, 45,684.42 and 11,734.93

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Solution

The fourth proportional to 30,470.59, 45,684.42 and 11,734.93 is: 17,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,470.59 : 45,684.42 = 11,734.93 : x
  2. Step 2: Convert to fraction form
    30,470.59/45,684.42 = 11,734.93/x
  3. Step 3: Cross multiply
    30,470.59x = 45,684.42 × 11,734.93
  4. Step 4: Simplify right side
    30,470.59x = 536,103,470.79
  5. Step 5: Solve for x
    x = 536,103,470.79/30,470.59
  6. Step 6: Final answer
    x = 17,594.13

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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.