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Finding the Fourth Proportional to 30,188.32, 45,284.88 and 10,458.88

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Solution

The fourth proportional to 30,188.32, 45,284.88 and 10,458.88 is: 15,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,188.32 : 45,284.88 = 10,458.88 : x
  2. Step 2: Convert to fraction form
    30,188.32/45,284.88 = 10,458.88/x
  3. Step 3: Cross multiply
    30,188.32x = 45,284.88 × 10,458.88
  4. Step 4: Simplify right side
    30,188.32x = 473,629,125.73
  5. Step 5: Solve for x
    x = 473,629,125.73/30,188.32
  6. Step 6: Final answer
    x = 15,689.15

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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.