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Finding the Fourth Proportional to 64,976.91, 97,465.29 and 24,457.99

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Solution

The fourth proportional to 64,976.91, 97,465.29 and 24,457.99 is: 36,686.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,976.91 : 97,465.29 = 24,457.99 : x
  2. Step 2: Convert to fraction form
    64,976.91/97,465.29 = 24,457.99/x
  3. Step 3: Cross multiply
    64,976.91x = 97,465.29 × 24,457.99
  4. Step 4: Simplify right side
    64,976.91x = 2,383,805,149.31
  5. Step 5: Solve for x
    x = 2,383,805,149.31/64,976.91
  6. Step 6: Final answer
    x = 36,686.96

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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.