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Finding the Fourth Proportional to 71,224.59, 98,292.90 and 41,009.16

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Solution

The fourth proportional to 71,224.59, 98,292.90 and 41,009.16 is: 56,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,224.59 : 98,292.90 = 41,009.16 : x
  2. Step 2: Convert to fraction form
    71,224.59/98,292.90 = 41,009.16/x
  3. Step 3: Cross multiply
    71,224.59x = 98,292.90 × 41,009.16
  4. Step 4: Simplify right side
    71,224.59x = 4,030,909,262.96
  5. Step 5: Solve for x
    x = 4,030,909,262.96/71,224.59
  6. Step 6: Final answer
    x = 56,594.35

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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.