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Finding the Fourth Proportional to 30,071.84, 45,110.79 and 10,347.80

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Solution

The fourth proportional to 30,071.84, 45,110.79 and 10,347.80 is: 15,522.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,071.84 : 45,110.79 = 10,347.80 : x
  2. Step 2: Convert to fraction form
    30,071.84/45,110.79 = 10,347.80/x
  3. Step 3: Cross multiply
    30,071.84x = 45,110.79 × 10,347.80
  4. Step 4: Simplify right side
    30,071.84x = 466,797,207.21
  5. Step 5: Solve for x
    x = 466,797,207.21/30,071.84
  6. Step 6: Final answer
    x = 15,522.74

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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.