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Finding the Fourth Proportional to 71,288.51, 98,354.12 and 41,073.08

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Solution

The fourth proportional to 71,288.51, 98,354.12 and 41,073.08 is: 56,667.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,288.51 : 98,354.12 = 41,073.08 : x
  2. Step 2: Convert to fraction form
    71,288.51/98,354.12 = 41,073.08/x
  3. Step 3: Cross multiply
    71,288.51x = 98,354.12 × 41,073.08
  4. Step 4: Simplify right side
    71,288.51x = 4,039,705,941.95
  5. Step 5: Solve for x
    x = 4,039,705,941.95/71,288.51
  6. Step 6: Final answer
    x = 56,667.00

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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.