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Finding the Fourth Proportional to 75,476.40, 113,214.16 and 19,316.40

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Solution

The fourth proportional to 75,476.40, 113,214.16 and 19,316.40 is: 28,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,476.40 : 113,214.16 = 19,316.40 : x
  2. Step 2: Convert to fraction form
    75,476.40/113,214.16 = 19,316.40/x
  3. Step 3: Cross multiply
    75,476.40x = 113,214.16 × 19,316.40
  4. Step 4: Simplify right side
    75,476.40x = 2,186,890,000.22
  5. Step 5: Solve for x
    x = 2,186,890,000.22/75,476.40
  6. Step 6: Final answer
    x = 28,974.49

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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.