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Finding the Fourth Proportional to 65,258.22, 97,866.68 and 40,260.81

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Solution

The fourth proportional to 65,258.22, 97,866.68 and 40,260.81 is: 60,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,258.22 : 97,866.68 = 40,260.81 : x
  2. Step 2: Convert to fraction form
    65,258.22/97,866.68 = 40,260.81/x
  3. Step 3: Cross multiply
    65,258.22x = 97,866.68 × 40,260.81
  4. Step 4: Simplify right side
    65,258.22x = 3,940,191,607.51
  5. Step 5: Solve for x
    x = 3,940,191,607.51/65,258.22
  6. Step 6: Final answer
    x = 60,378.47

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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.