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Finding the Fourth Proportional to 65,004.60, 97,430.10 and 27,564.60

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Solution

The fourth proportional to 65,004.60, 97,430.10 and 27,564.60 is: 41,314.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,004.60 : 97,430.10 = 27,564.60 : x
  2. Step 2: Convert to fraction form
    65,004.60/97,430.10 = 27,564.60/x
  3. Step 3: Cross multiply
    65,004.60x = 97,430.10 × 27,564.60
  4. Step 4: Simplify right side
    65,004.60x = 2,685,621,734.46
  5. Step 5: Solve for x
    x = 2,685,621,734.46/65,004.60
  6. Step 6: Final answer
    x = 41,314.33

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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.