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Finding the Fourth Proportional to 85,144.65, 117,495 and 46,896.76

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Solution

The fourth proportional to 85,144.65, 117,495 and 46,896.76 is: 64,714.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,144.65 : 117,495 = 46,896.76 : x
  2. Step 2: Convert to fraction form
    85,144.65/117,495 = 46,896.76/x
  3. Step 3: Cross multiply
    85,144.65x = 117,495 × 46,896.76
  4. Step 4: Simplify right side
    85,144.65x = 5,510,134,816.20
  5. Step 5: Solve for x
    x = 5,510,134,816.20/85,144.65
  6. Step 6: Final answer
    x = 64,714.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.