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Finding the Fourth Proportional to 64,976.66, 97,464.92 and 24,457.74

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Solution

The fourth proportional to 64,976.66, 97,464.92 and 24,457.74 is: 36,686.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,976.66 : 97,464.92 = 24,457.74 : x
  2. Step 2: Convert to fraction form
    64,976.66/97,464.92 = 24,457.74/x
  3. Step 3: Cross multiply
    64,976.66x = 97,464.92 × 24,457.74
  4. Step 4: Simplify right side
    64,976.66x = 2,383,771,641.91
  5. Step 5: Solve for x
    x = 2,383,771,641.91/64,976.66
  6. Step 6: Final answer
    x = 36,686.58

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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.