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Finding the Fourth Proportional to 51,830.72, 77,341.69 and 46,245.65

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Solution

The fourth proportional to 51,830.72, 77,341.69 and 46,245.65 is: 69,007.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,830.72 : 77,341.69 = 46,245.65 : x
  2. Step 2: Convert to fraction form
    51,830.72/77,341.69 = 46,245.65/x
  3. Step 3: Cross multiply
    51,830.72x = 77,341.69 × 46,245.65
  4. Step 4: Simplify right side
    51,830.72x = 3,576,716,494.92
  5. Step 5: Solve for x
    x = 3,576,716,494.92/51,830.72
  6. Step 6: Final answer
    x = 69,007.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.