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Finding the Fourth Proportional to 30,211.47, 45,298.92 and 11,492.80

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Solution

The fourth proportional to 30,211.47, 45,298.92 and 11,492.80 is: 17,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,211.47 : 45,298.92 = 11,492.80 : x
  2. Step 2: Convert to fraction form
    30,211.47/45,298.92 = 11,492.80/x
  3. Step 3: Cross multiply
    30,211.47x = 45,298.92 × 11,492.80
  4. Step 4: Simplify right side
    30,211.47x = 520,611,389.00
  5. Step 5: Solve for x
    x = 520,611,389.00/30,211.47
  6. Step 6: Final answer
    x = 17,232.24

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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.