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Finding the Fourth Proportional to 46,396, 69,605.56 and 13,564

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Solution

The fourth proportional to 46,396, 69,605.56 and 13,564 is: 20,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,396 : 69,605.56 = 13,564 : x
  2. Step 2: Convert to fraction form
    46,396/69,605.56 = 13,564/x
  3. Step 3: Cross multiply
    46,396x = 69,605.56 × 13,564
  4. Step 4: Simplify right side
    46,396x = 944,129,815.84
  5. Step 5: Solve for x
    x = 944,129,815.84/46,396
  6. Step 6: Final answer
    x = 20,349.38

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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.