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Finding the Fourth Proportional to 30,102.40, 45,155.52 and 10,382.72

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Solution

The fourth proportional to 30,102.40, 45,155.52 and 10,382.72 is: 15,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.40 : 45,155.52 = 10,382.72 : x
  2. Step 2: Convert to fraction form
    30,102.40/45,155.52 = 10,382.72/x
  3. Step 3: Cross multiply
    30,102.40x = 45,155.52 × 10,382.72
  4. Step 4: Simplify right side
    30,102.40x = 468,837,120.61
  5. Step 5: Solve for x
    x = 468,837,120.61/30,102.40
  6. Step 6: Final answer
    x = 15,574.74

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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.