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Finding the Fourth Proportional to 65,161, 97,588.36 and 31,776.48

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Solution

The fourth proportional to 65,161, 97,588.36 and 31,776.48 is: 47,590.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,161 : 97,588.36 = 31,776.48 : x
  2. Step 2: Convert to fraction form
    65,161/97,588.36 = 31,776.48/x
  3. Step 3: Cross multiply
    65,161x = 97,588.36 × 31,776.48
  4. Step 4: Simplify right side
    65,161x = 3,101,014,569.77
  5. Step 5: Solve for x
    x = 3,101,014,569.77/65,161
  6. Step 6: Final answer
    x = 47,590.04

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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.