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Finding the Fourth Proportional to 30,257.76, 45,398.16 and 10,538.40

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Solution

The fourth proportional to 30,257.76, 45,398.16 and 10,538.40 is: 15,811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,257.76 : 45,398.16 = 10,538.40 : x
  2. Step 2: Convert to fraction form
    30,257.76/45,398.16 = 10,538.40/x
  3. Step 3: Cross multiply
    30,257.76x = 45,398.16 × 10,538.40
  4. Step 4: Simplify right side
    30,257.76x = 478,423,969.34
  5. Step 5: Solve for x
    x = 478,423,969.34/30,257.76
  6. Step 6: Final answer
    x = 15,811.61

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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.