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Finding the Fourth Proportional to 64,457.48, 96,834.46 and 45,782.94

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Solution

The fourth proportional to 64,457.48, 96,834.46 and 45,782.94 is: 68,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,457.48 : 96,834.46 = 45,782.94 : x
  2. Step 2: Convert to fraction form
    64,457.48/96,834.46 = 45,782.94/x
  3. Step 3: Cross multiply
    64,457.48x = 96,834.46 × 45,782.94
  4. Step 4: Simplify right side
    64,457.48x = 4,433,366,272.11
  5. Step 5: Solve for x
    x = 4,433,366,272.11/64,457.48
  6. Step 6: Final answer
    x = 68,779.70

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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.