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Finding the Fourth Proportional to 46,349.38, 69,544.74 and 21,376

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Solution

The fourth proportional to 46,349.38, 69,544.74 and 21,376 is: 32,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,349.38 : 69,544.74 = 21,376 : x
  2. Step 2: Convert to fraction form
    46,349.38/69,544.74 = 21,376/x
  3. Step 3: Cross multiply
    46,349.38x = 69,544.74 × 21,376
  4. Step 4: Simplify right side
    46,349.38x = 1,486,588,362.24
  5. Step 5: Solve for x
    x = 1,486,588,362.24/46,349.38
  6. Step 6: Final answer
    x = 32,073.53

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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.