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Finding the Fourth Proportional to 65,210.87, 97,802.91 and 41,187.85

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Solution

The fourth proportional to 65,210.87, 97,802.91 and 41,187.85 is: 61,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,210.87 : 97,802.91 = 41,187.85 : x
  2. Step 2: Convert to fraction form
    65,210.87/97,802.91 = 41,187.85/x
  3. Step 3: Cross multiply
    65,210.87x = 97,802.91 × 41,187.85
  4. Step 4: Simplify right side
    65,210.87x = 4,028,291,856.05
  5. Step 5: Solve for x
    x = 4,028,291,856.05/65,210.87
  6. Step 6: Final answer
    x = 61,773.32

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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.