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Finding the Fourth Proportional to 64,971.70, 97,477.35 and 27,512.26

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Solution

The fourth proportional to 64,971.70, 97,477.35 and 27,512.26 is: 41,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,971.70 : 97,477.35 = 27,512.26 : x
  2. Step 2: Convert to fraction form
    64,971.70/97,477.35 = 27,512.26/x
  3. Step 3: Cross multiply
    64,971.70x = 97,477.35 × 27,512.26
  4. Step 4: Simplify right side
    64,971.70x = 2,681,822,197.31
  5. Step 5: Solve for x
    x = 2,681,822,197.31/64,971.70
  6. Step 6: Final answer
    x = 41,276.77

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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.