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Finding the Fourth Proportional to 30,416.31, 45,599.76 and 11,686.68

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Solution

The fourth proportional to 30,416.31, 45,599.76 and 11,686.68 is: 17,520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.31 : 45,599.76 = 11,686.68 : x
  2. Step 2: Convert to fraction form
    30,416.31/45,599.76 = 11,686.68/x
  3. Step 3: Cross multiply
    30,416.31x = 45,599.76 × 11,686.68
  4. Step 4: Simplify right side
    30,416.31x = 532,909,803.20
  5. Step 5: Solve for x
    x = 532,909,803.20/30,416.31
  6. Step 6: Final answer
    x = 17,520.53

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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.