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Finding the Fourth Proportional to 71,291.86, 98,393.12 and 41,071.30

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Solution

The fourth proportional to 71,291.86, 98,393.12 and 41,071.30 is: 56,684.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,291.86 : 98,393.12 = 41,071.30 : x
  2. Step 2: Convert to fraction form
    71,291.86/98,393.12 = 41,071.30/x
  3. Step 3: Cross multiply
    71,291.86x = 98,393.12 × 41,071.30
  4. Step 4: Simplify right side
    71,291.86x = 4,041,133,349.46
  5. Step 5: Solve for x
    x = 4,041,133,349.46/71,291.86
  6. Step 6: Final answer
    x = 56,684.36

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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.