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Finding the Fourth Proportional to 46,208, 69,312 and 13,376

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Solution

The fourth proportional to 46,208, 69,312 and 13,376 is: 20,064

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,208 : 69,312 = 13,376 : x
  2. Step 2: Convert to fraction form
    46,208/69,312 = 13,376/x
  3. Step 3: Cross multiply
    46,208x = 69,312 × 13,376
  4. Step 4: Simplify right side
    46,208x = 927,117,312
  5. Step 5: Solve for x
    x = 927,117,312/46,208
  6. Step 6: Final answer
    x = 20,064

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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.