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Finding the Fourth Proportional to 71,071.09, 98,074.59 and 40,835

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Solution

The fourth proportional to 71,071.09, 98,074.59 and 40,835 is: 56,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,071.09 : 98,074.59 = 40,835 : x
  2. Step 2: Convert to fraction form
    71,071.09/98,074.59 = 40,835/x
  3. Step 3: Cross multiply
    71,071.09x = 98,074.59 × 40,835
  4. Step 4: Simplify right side
    71,071.09x = 4,004,875,882.65
  5. Step 5: Solve for x
    x = 4,004,875,882.65/71,071.09
  6. Step 6: Final answer
    x = 56,350.28

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