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Finding the Fourth Proportional to 76,715.30, 105,878.85 and 46,505.54

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Solution

The fourth proportional to 76,715.30, 105,878.85 and 46,505.54 is: 64,184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,715.30 : 105,878.85 = 46,505.54 : x
  2. Step 2: Convert to fraction form
    76,715.30/105,878.85 = 46,505.54/x
  3. Step 3: Cross multiply
    76,715.30x = 105,878.85 × 46,505.54
  4. Step 4: Simplify right side
    76,715.30x = 4,923,953,184.13
  5. Step 5: Solve for x
    x = 4,923,953,184.13/76,715.30
  6. Step 6: Final answer
    x = 64,184.76

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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.