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Finding the Fourth Proportional to 30,106.43, 45,159.74 and 10,115.34

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Solution

The fourth proportional to 30,106.43, 45,159.74 and 10,115.34 is: 15,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.43 : 45,159.74 = 10,115.34 : x
  2. Step 2: Convert to fraction form
    30,106.43/45,159.74 = 10,115.34/x
  3. Step 3: Cross multiply
    30,106.43x = 45,159.74 × 10,115.34
  4. Step 4: Simplify right side
    30,106.43x = 456,806,073.83
  5. Step 5: Solve for x
    x = 456,806,073.83/30,106.43
  6. Step 6: Final answer
    x = 15,173.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.