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Finding the Fourth Proportional to 65,269.77, 97,864.88 and 27,808.89

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Solution

The fourth proportional to 65,269.77, 97,864.88 and 27,808.89 is: 41,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,269.77 : 97,864.88 = 27,808.89 : x
  2. Step 2: Convert to fraction form
    65,269.77/97,864.88 = 27,808.89/x
  3. Step 3: Cross multiply
    65,269.77x = 97,864.88 × 27,808.89
  4. Step 4: Simplify right side
    65,269.77x = 2,721,513,543.74
  5. Step 5: Solve for x
    x = 2,721,513,543.74/65,269.77
  6. Step 6: Final answer
    x = 41,696.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.