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Finding the Fourth Proportional to 71,200.19, 98,249.64 and 39,368.40

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Solution

The fourth proportional to 71,200.19, 98,249.64 and 39,368.40 is: 54,324.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,200.19 : 98,249.64 = 39,368.40 : x
  2. Step 2: Convert to fraction form
    71,200.19/98,249.64 = 39,368.40/x
  3. Step 3: Cross multiply
    71,200.19x = 98,249.64 × 39,368.40
  4. Step 4: Simplify right side
    71,200.19x = 3,867,931,127.38
  5. Step 5: Solve for x
    x = 3,867,931,127.38/71,200.19
  6. Step 6: Final answer
    x = 54,324.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.