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Finding the Fourth Proportional to 65,049.60, 97,457.76 and 61,550.40

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Solution

The fourth proportional to 65,049.60, 97,457.76 and 61,550.40 is: 92,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,049.60 : 97,457.76 = 61,550.40 : x
  2. Step 2: Convert to fraction form
    65,049.60/97,457.76 = 61,550.40/x
  3. Step 3: Cross multiply
    65,049.60x = 97,457.76 × 61,550.40
  4. Step 4: Simplify right side
    65,049.60x = 5,998,564,111.10
  5. Step 5: Solve for x
    x = 5,998,564,111.10/65,049.60
  6. Step 6: Final answer
    x = 92,215.23

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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.