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Finding the Fourth Proportional to 67,841.48, 101,741.49 and 46,916

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Solution

The fourth proportional to 67,841.48, 101,741.49 and 46,916 is: 70,359.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,841.48 : 101,741.49 = 46,916 : x
  2. Step 2: Convert to fraction form
    67,841.48/101,741.49 = 46,916/x
  3. Step 3: Cross multiply
    67,841.48x = 101,741.49 × 46,916
  4. Step 4: Simplify right side
    67,841.48x = 4,773,303,744.84
  5. Step 5: Solve for x
    x = 4,773,303,744.84/67,841.48
  6. Step 6: Final answer
    x = 70,359.66

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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.