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Finding the Fourth Proportional to 30,124.41, 45,192.74 and 10,400.40

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Solution

The fourth proportional to 30,124.41, 45,192.74 and 10,400.40 is: 15,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,124.41 : 45,192.74 = 10,400.40 : x
  2. Step 2: Convert to fraction form
    30,124.41/45,192.74 = 10,400.40/x
  3. Step 3: Cross multiply
    30,124.41x = 45,192.74 × 10,400.40
  4. Step 4: Simplify right side
    30,124.41x = 470,022,521.09
  5. Step 5: Solve for x
    x = 470,022,521.09/30,124.41
  6. Step 6: Final answer
    x = 15,602.71

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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.