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Finding the Fourth Proportional to 71,822.84, 99,088.61 and 41,597.15

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Solution

The fourth proportional to 71,822.84, 99,088.61 and 41,597.15 is: 57,388.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,822.84 : 99,088.61 = 41,597.15 : x
  2. Step 2: Convert to fraction form
    71,822.84/99,088.61 = 41,597.15/x
  3. Step 3: Cross multiply
    71,822.84x = 99,088.61 × 41,597.15
  4. Step 4: Simplify right side
    71,822.84x = 4,121,803,070.03
  5. Step 5: Solve for x
    x = 4,121,803,070.03/71,822.84
  6. Step 6: Final answer
    x = 57,388.48

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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.