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Finding the Fourth Proportional to 71,597.10, 98,818.74 and 41,378.16

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Solution

The fourth proportional to 71,597.10, 98,818.74 and 41,378.16 is: 57,110.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,597.10 : 98,818.74 = 41,378.16 : x
  2. Step 2: Convert to fraction form
    71,597.10/98,818.74 = 41,378.16/x
  3. Step 3: Cross multiply
    71,597.10x = 98,818.74 × 41,378.16
  4. Step 4: Simplify right side
    71,597.10x = 4,088,937,634.72
  5. Step 5: Solve for x
    x = 4,088,937,634.72/71,597.10
  6. Step 6: Final answer
    x = 57,110.38

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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.