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Finding the Fourth Proportional to 30,657.15, 45,979.92 and 9,594.01

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Solution

The fourth proportional to 30,657.15, 45,979.92 and 9,594.01 is: 14,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.15 : 45,979.92 = 9,594.01 : x
  2. Step 2: Convert to fraction form
    30,657.15/45,979.92 = 9,594.01/x
  3. Step 3: Cross multiply
    30,657.15x = 45,979.92 × 9,594.01
  4. Step 4: Simplify right side
    30,657.15x = 441,131,869.75
  5. Step 5: Solve for x
    x = 441,131,869.75/30,657.15
  6. Step 6: Final answer
    x = 14,389.20

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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.