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Finding the Fourth Proportional to 65,083.39, 97,513.64 and 35,521.97

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Solution

The fourth proportional to 65,083.39, 97,513.64 and 35,521.97 is: 53,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,083.39 : 97,513.64 = 35,521.97 : x
  2. Step 2: Convert to fraction form
    65,083.39/97,513.64 = 35,521.97/x
  3. Step 3: Cross multiply
    65,083.39x = 97,513.64 × 35,521.97
  4. Step 4: Simplify right side
    65,083.39x = 3,463,875,929.49
  5. Step 5: Solve for x
    x = 3,463,875,929.49/65,083.39
  6. Step 6: Final answer
    x = 53,222.12

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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.