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Finding the Fourth Proportional to 52,877.80, 79,160.87 and 46,316.80

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Solution

The fourth proportional to 52,877.80, 79,160.87 and 46,316.80 is: 69,338.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,877.80 : 79,160.87 = 46,316.80 : x
  2. Step 2: Convert to fraction form
    52,877.80/79,160.87 = 46,316.80/x
  3. Step 3: Cross multiply
    52,877.80x = 79,160.87 × 46,316.80
  4. Step 4: Simplify right side
    52,877.80x = 3,666,478,183.62
  5. Step 5: Solve for x
    x = 3,666,478,183.62/52,877.80
  6. Step 6: Final answer
    x = 69,338.71

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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.